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1.3 Lösning 3c - Versionshistorik
2026-06-29T01:42:36Z
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Taifun den 3 januari 2011 kl. 16.39
2011-01-03T16:39:20Z
<p></p>
<table class='diff diff-contentalign-left'>
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
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<td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 3 januari 2011 kl. 16.39</td>
</tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td>
<td colspan="2" class="diff-lineno">Rad 1:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>1, -5 och 4 är nollställen till polynomet <math> P(x) = (x-1) \cdot (x+5) \cdot (x-4) </math> pga:  </div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>1, -5 och 4 är nollställen till polynomet <math> P(x) = (x-1) \cdot (x+5) \cdot (x-4) </math> pga:  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> \begin{align} P(1)  & = (1-1) \cdot (1+5) \cdot (1-4)<del class="diffchange diffchange-inline">&</del>= 0 \cdot 6 \cdot (-3)  & = 0 <del class="diffchange diffchange-inline">    </del>\\</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> \begin{align} P(1)  & = (1-1) \cdot (1+5) \cdot (1-4) <ins class="diffchange diffchange-inline">\qquad\;\, </ins>= <ins class="diffchange diffchange-inline">\quad </ins>0 \cdot 6 \cdot (-3)  & = 0 \\</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>                     P(-5) & = (-5-1) \cdot (-5+5) \cdot (-5-4) <del class="diffchange diffchange-inline">& </del>= -6 \cdot 0 \cdot (-9) & = 0 <del class="diffchange diffchange-inline">    </del>\\</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>                     P(-5) & = (-5-1) \cdot (-5+5) \cdot (-5-4) = <ins class="diffchange diffchange-inline">\; </ins>-6 \cdot 0 \cdot (-9) & = 0 \\</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>                     P(4)  & = (4-1) \cdot (4+5) \cdot (4-4)<del class="diffchange diffchange-inline">&</del>= 3 \cdot 9 \cdot 0    & = 0  </div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>                     P(4)  & = (4-1) \cdot (4+5) \cdot (4-4) <ins class="diffchange diffchange-inline">\qquad\; </ins>= <ins class="diffchange diffchange-inline">\quad\; </ins>3 \cdot 9 \cdot 0    & = 0  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>       \end{align}</math></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>       \end{align}</math></div></td></tr>
</table>
Taifun
https://minidemo.mathonline.se/index.php?title=1.3_L%C3%B6sning_3c&diff=1517&oldid=prev
Taifun den 3 januari 2011 kl. 16.29
2011-01-03T16:29:04Z
<p></p>
<table class='diff diff-contentalign-left'>
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr style='vertical-align: top;'>
<td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 3 januari 2011 kl. 16.29</td>
</tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td>
<td colspan="2" class="diff-lineno">Rad 1:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>1, -5 och 4 är nollställen till polynomet <math> P(x) = (x-1) \cdot (x+5) \cdot (x-4) </math> pga:  </div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>1, -5 och 4 är nollställen till polynomet <math> P(x) = (x-1) \cdot (x+5) \cdot (x-4) </math> pga:  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> \begin{align} P(1)  & = (1-1) \cdot (1+5) \cdot (1-4) <del class="diffchange diffchange-inline">  </del>& = 0 \cdot 6 \cdot (-3)  & = 0    \\</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> \begin{align} P(1)  & = (1-1) \cdot (1+5) \cdot (1-4)&= 0 \cdot 6 \cdot (-3)  & = 0    \\</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>                     P(-5) & = (-5-1) \cdot (-5+5) \cdot (-5-4) & = -6 \cdot 0 \cdot (-9) & = 0    \\</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>                     P(-5) & = (-5-1) \cdot (-5+5) \cdot (-5-4) & = -6 \cdot 0 \cdot (-9) & = 0    \\</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>                     P(4)  & = (4-1) \cdot (4+5) \cdot (4-4) <del class="diffchange diffchange-inline">  </del>& = 3 \cdot 9 \cdot 0    & = 0  </div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>                     P(4)  & = (4-1) \cdot (4+5) \cdot (4-4)&= 3 \cdot 9 \cdot 0    & = 0  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>       \end{align}</math></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>       \end{align}</math></div></td></tr>
</table>
Taifun
https://minidemo.mathonline.se/index.php?title=1.3_L%C3%B6sning_3c&diff=1516&oldid=prev
Taifun den 3 januari 2011 kl. 16.27
2011-01-03T16:27:25Z
<p></p>
<table class='diff diff-contentalign-left'>
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr style='vertical-align: top;'>
<td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 3 januari 2011 kl. 16.27</td>
</tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td>
<td colspan="2" class="diff-lineno">Rad 1:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>1, -5 och 4 är nollställen till polynomet <math> P(x) = (x-1) \cdot (x+5) \cdot (x-4) </math> pga:  </div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>1, -5 och 4 är nollställen till polynomet <math> P(x) = (x-1) \cdot (x+5) \cdot (x-4) </math> pga:  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> P(1) = (1-1) \cdot (1+5) \cdot (1-4) = 0 \cdot 6 \cdot (-3) = 0 <del class="diffchange diffchange-inline"></math></del></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> <ins class="diffchange diffchange-inline">\begin{align} </ins>P(1) <ins class="diffchange diffchange-inline"> & </ins>= (1-1) \cdot (1+5) \cdot (1-4) <ins class="diffchange diffchange-inline">  & </ins>= 0 \cdot 6 \cdot (-3) <ins class="diffchange diffchange-inline"> & </ins>= 0 <ins class="diffchange diffchange-inline">    \\</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline"><math> </del>P(-5) = (-5-1) \cdot (-5+5) \cdot (-5-4) = -6 \cdot 0 \cdot (-9) = 0 <del class="diffchange diffchange-inline"></math></del></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">                    </ins>P(-5) <ins class="diffchange diffchange-inline">& </ins>= (-5-1) \cdot (-5+5) \cdot (-5-4) <ins class="diffchange diffchange-inline">& </ins>= -6 \cdot 0 \cdot (-9) <ins class="diffchange diffchange-inline">& </ins>= 0 <ins class="diffchange diffchange-inline">    \\</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline"><math> </del>P(4) = (4-1) \cdot (4+5) \cdot (4-4) = 3 \cdot 9 \cdot 0 = 0 </math></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">                    </ins>P(4) <ins class="diffchange diffchange-inline"> & </ins>= (4-1) \cdot (4+5) \cdot (4-4) <ins class="diffchange diffchange-inline">  & </ins>= 3 \cdot 9 \cdot 0 <ins class="diffchange diffchange-inline">    & </ins>= 0  </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">      \end{align}</ins></math></div></td></tr>
</table>
Taifun
https://minidemo.mathonline.se/index.php?title=1.3_L%C3%B6sning_3c&diff=1515&oldid=prev
Taifun den 3 januari 2011 kl. 16.20
2011-01-03T16:20:52Z
<p></p>
<table class='diff diff-contentalign-left'>
<col class='diff-marker' />
<col class='diff-content' />
<col class='diff-marker' />
<col class='diff-content' />
<tr style='vertical-align: top;'>
<td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 3 januari 2011 kl. 16.20</td>
</tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td>
<td colspan="2" class="diff-lineno">Rad 1:</td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>1, -5 <del class="diffchange diffchange-inline">-2 </del>och <del class="diffchange diffchange-inline">-6 </del>är nollställen till polynomet <math> P(x) = (x<del class="diffchange diffchange-inline">+2</del>) \cdot (x+<del class="diffchange diffchange-inline">6</del>) </math> <del class="diffchange diffchange-inline">därför att både </del></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>1, -5 och <ins class="diffchange diffchange-inline">4 </ins>är nollställen till polynomet <math> P(x) = (x<ins class="diffchange diffchange-inline">-1</ins>) \cdot (x+<ins class="diffchange diffchange-inline">5) \cdot (x-4</ins>) </math> <ins class="diffchange diffchange-inline">pga: </ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> P(<del class="diffchange diffchange-inline">-2</del>) = (-<del class="diffchange diffchange-inline">2</del>+<del class="diffchange diffchange-inline">2</del>) \cdot (-<del class="diffchange diffchange-inline">2+6</del>) = 0 \cdot <del class="diffchange diffchange-inline">4 </del>= 0 </math></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> P(<ins class="diffchange diffchange-inline">1</ins>) = (<ins class="diffchange diffchange-inline">1</ins>-<ins class="diffchange diffchange-inline">1) \cdot (1</ins>+<ins class="diffchange diffchange-inline">5</ins>) \cdot (<ins class="diffchange diffchange-inline">1</ins>-<ins class="diffchange diffchange-inline">4</ins>) = 0 \cdot <ins class="diffchange diffchange-inline">6 \cdot (-3) </ins>= 0 </math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">och</del></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline"><math> P(-5) = (-5-1) \cdot (-5+5) \cdot (-5-4) = -6 \cdot 0 \cdot (-9) = 0 </math></ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> P(<del class="diffchange diffchange-inline">-6</del>) = (-<del class="diffchange diffchange-inline">6+2</del>) \cdot (<del class="diffchange diffchange-inline">-6</del>+<del class="diffchange diffchange-inline">6</del>) <del class="diffchange diffchange-inline">= </del>-4 \cdot 0 = 0 </math></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> P(<ins class="diffchange diffchange-inline">4</ins>) = (<ins class="diffchange diffchange-inline">4</ins>-<ins class="diffchange diffchange-inline">1</ins>) \cdot (<ins class="diffchange diffchange-inline">4</ins>+<ins class="diffchange diffchange-inline">5</ins>) <ins class="diffchange diffchange-inline">\cdot (4</ins>-4<ins class="diffchange diffchange-inline">) = 3 \cdot 9 </ins>\cdot 0 = 0 </math></div></td></tr>
</table>
Taifun
https://minidemo.mathonline.se/index.php?title=1.3_L%C3%B6sning_3c&diff=1513&oldid=prev
Taifun: Created page with "1, -5 -2 och -6 är nollställen till polynomet <math> P(x) = (x+2) \cdot (x+6) </math> därför att både <math> P(-2) = (-2+2) \cdot (-2+6) = 0 \cdot 4 = 0 </math> och <mat..."
2011-01-03T16:09:01Z
<p>Created page with "1, -5 -2 och -6 är nollställen till polynomet <math> P(x) = (x+2) \cdot (x+6) </math> därför att både <math> P(-2) = (-2+2) \cdot (-2+6) = 0 \cdot 4 = 0 </math> och <mat..."</p>
<p><b>Ny sida</b></p><div>1, -5 -2 och -6 är nollställen till polynomet <math> P(x) = (x+2) \cdot (x+6) </math> därför att både <br />
<br />
<math> P(-2) = (-2+2) \cdot (-2+6) = 0 \cdot 4 = 0 </math><br />
<br />
och<br />
<br />
<math> P(-6) = (-6+2) \cdot (-6+6) = -4 \cdot 0 = 0 </math></div>
Taifun