https://minidemo.mathonline.se/index.php?action=history&feed=atom&title=1.2_L%C3%B6sning_3b 2026-06-26T12:16:02Z Versionshistorik för denna sida på wikin MediaWiki 1.23.1 https://minidemo.mathonline.se/index.php?title=1.2_L%C3%B6sning_3b&diff=4165&oldid=prev 2011-04-14T12:48:56Z

<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 14 april 2011 kl. 12.48</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>&lt;math&gt; P(x) = 2\,x^2 +\,21,x &lt;/math&gt;</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>&lt;math&gt; P(x) = 2\,x^2 +\,21<ins class="diffchange diffchange-inline">\</ins>,x &lt;/math&gt;</div></td></tr> <tr><td class='diff-marker'>&#160;</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'>&#160;</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'>&#160;</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>&lt;math&gt; P(-1) = 2 \cdot (-1)^2 +\,21 \cdot (-1) = 2 \cdot 1\,-\,21 = 2\,-\,21 = -19 &lt;/math&gt;</div></td><td class='diff-marker'>&#160;</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>&lt;math&gt; P(-1) = 2 \cdot (-1)^2 +\,21 \cdot (-1) = 2 \cdot 1\,-\,21 = 2\,-\,21 = -19 &lt;/math&gt;</div></td></tr> </table>

Taifun https://minidemo.mathonline.se/index.php?title=1.2_L%C3%B6sning_3b&diff=4164&oldid=prev 2011-04-14T12:48:39Z

<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 14 april 2011 kl. 12.48</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>&lt;math&gt; P(x) = <del class="diffchange diffchange-inline">3</del>\,x^2 <del class="diffchange diffchange-inline">-</del>\,<del class="diffchange diffchange-inline">15\</del>,x &lt;/math&gt;</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>&lt;math&gt; P(x) = <ins class="diffchange diffchange-inline">2</ins>\,x^2 <ins class="diffchange diffchange-inline">+</ins>\,<ins class="diffchange diffchange-inline">21</ins>,x &lt;/math&gt;</div></td></tr> <tr><td class='diff-marker'>&#160;</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'>&#160;</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>&lt;math&gt; P(-1) = <del class="diffchange diffchange-inline">3 </del>\cdot (-1)^2 <del class="diffchange diffchange-inline">-</del>\,<del class="diffchange diffchange-inline">15 </del>\cdot (-1) = <del class="diffchange diffchange-inline">3 </del>\cdot 1\,<del class="diffchange diffchange-inline">+</del>\,<del class="diffchange diffchange-inline">15 </del>= <del class="diffchange diffchange-inline">3</del>\,<del class="diffchange diffchange-inline">+</del>\,<del class="diffchange diffchange-inline">15 </del>= <del class="diffchange diffchange-inline">18 </del>&lt;/math&gt;</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>&lt;math&gt; P(-1) = <ins class="diffchange diffchange-inline">2 </ins>\cdot (-1)^2 <ins class="diffchange diffchange-inline">+</ins>\,<ins class="diffchange diffchange-inline">21 </ins>\cdot (-1) = <ins class="diffchange diffchange-inline">2 </ins>\cdot 1\,<ins class="diffchange diffchange-inline">-</ins>\,<ins class="diffchange diffchange-inline">21 </ins>= <ins class="diffchange diffchange-inline">2</ins>\,<ins class="diffchange diffchange-inline">-</ins>\,<ins class="diffchange diffchange-inline">21 </ins>= <ins class="diffchange diffchange-inline">-19 </ins>&lt;/math&gt;</div></td></tr> </table>

Taifun https://minidemo.mathonline.se/index.php?title=1.2_L%C3%B6sning_3b&diff=4044&oldid=prev 2011-04-05T08:21:36Z

<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 5 april 2011 kl. 08.21</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>&lt;math&gt; P(x) = <del class="diffchange diffchange-inline">2</del>\,x^2 <del class="diffchange diffchange-inline">+</del>\,<del class="diffchange diffchange-inline">21</del>\,x &lt;/math&gt;</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>&lt;math&gt; P(x) = <ins class="diffchange diffchange-inline">3</ins>\,x^2 <ins class="diffchange diffchange-inline">-</ins>\,<ins class="diffchange diffchange-inline">15</ins>\,x &lt;/math&gt;</div></td></tr> <tr><td class='diff-marker'>&#160;</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'>&#160;</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>&lt;math&gt; P(-1) = <del class="diffchange diffchange-inline">2 </del>\cdot (-1)^2 <del class="diffchange diffchange-inline">+</del>\,<del class="diffchange diffchange-inline">21 </del>\cdot (-1) = <del class="diffchange diffchange-inline">2 </del>\cdot 1\,<del class="diffchange diffchange-inline">-</del>\,<del class="diffchange diffchange-inline">21 </del>= <del class="diffchange diffchange-inline">2</del>\,<del class="diffchange diffchange-inline">-</del>\,<del class="diffchange diffchange-inline">21 </del>= <del class="diffchange diffchange-inline">-19 </del>&lt;/math&gt;</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>&lt;math&gt; P(-1) = <ins class="diffchange diffchange-inline">3 </ins>\cdot (-1)^2 <ins class="diffchange diffchange-inline">-</ins>\,<ins class="diffchange diffchange-inline">15 </ins>\cdot (-1) = <ins class="diffchange diffchange-inline">3 </ins>\cdot 1\,<ins class="diffchange diffchange-inline">+</ins>\,<ins class="diffchange diffchange-inline">15 </ins>= <ins class="diffchange diffchange-inline">3</ins>\,<ins class="diffchange diffchange-inline">+</ins>\,<ins class="diffchange diffchange-inline">15 </ins>= <ins class="diffchange diffchange-inline">18 </ins>&lt;/math&gt;</div></td></tr> </table>

Taifun https://minidemo.mathonline.se/index.php?title=1.2_L%C3%B6sning_3b&diff=1523&oldid=prev 2011-01-03T21:59:13Z

<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. 21.59</td> </tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td colspan="2">&#160;</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 style="font-weight: bold; text-decoration: none;">&lt;math&gt; P(x) = 2\,x^2 +\,21\,x &lt;/math&gt;</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</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'>&#160;</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 colspan="2">&#160;</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 style="font-weight: bold; text-decoration: none;">&lt;math&gt; P(-1) = 2 \cdot (-1)^2 +\,21 \cdot (-1) = 2 \cdot 1\,-\,21 = 2\,-\,21 = -19 &lt;/math&gt;</ins></div></td></tr> </table>

Taifun https://minidemo.mathonline.se/index.php?title=1.2_L%C3%B6sning_3b&diff=1507&oldid=prev 2011-01-03T15:56:31Z

<p>Blanked the page</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. 15.56</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><del style="font-weight: bold; text-decoration: none;">-2 och -6 är nollställen till polynomet &lt;math&gt; P(x) = (x+2) \cdot (x+6) &lt;/math&gt; därför att både </del></div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>&#160;</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'>&#160;</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 style="font-weight: bold; text-decoration: none;">&lt;math&gt; P(-2) = (-2+2) \cdot (-2+6) = 0 \cdot 4 = 0 &lt;/math&gt;</del></div></td><td colspan="2">&#160;</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 style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2">&#160;</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 style="font-weight: bold; text-decoration: none;">och</del></div></td><td colspan="2">&#160;</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 style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2">&#160;</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 style="font-weight: bold; text-decoration: none;">&lt;math&gt; P(-6) = (-6+2) \cdot (-6+6) = -4 \cdot 0 = 0 &lt;/math&gt;</del></div></td><td colspan="2">&#160;</td></tr> </table>

Taifun https://minidemo.mathonline.se/index.php?title=1.2_L%C3%B6sning_3b&diff=1498&oldid=prev 2011-01-03T15:08:38Z

<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. 15.08</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>&lt;math&gt; P(x) = <del class="diffchange diffchange-inline">2\,</del>x<del class="diffchange diffchange-inline">^2 </del>+\<del class="diffchange diffchange-inline">,21\,</del>x &lt;/math&gt;</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">-2 och -6 är nollställen till polynomet </ins>&lt;math&gt; P(x) = <ins class="diffchange diffchange-inline">(</ins>x+<ins class="diffchange diffchange-inline">2) </ins>\<ins class="diffchange diffchange-inline">cdot (</ins>x<ins class="diffchange diffchange-inline">+6) </ins>&lt;/math&gt; <ins class="diffchange diffchange-inline">därför att både </ins></div></td></tr> <tr><td class='diff-marker'>&#160;</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'>&#160;</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>&lt;math&gt; P(-<del class="diffchange diffchange-inline">1</del>) = 2 \cdot (-<del class="diffchange diffchange-inline">1)^</del>2 +<del class="diffchange diffchange-inline">\,21 </del>\cdot (-<del class="diffchange diffchange-inline">1</del>) = 2 \cdot <del class="diffchange diffchange-inline">1\,</del>-<del class="diffchange diffchange-inline">\,21 </del>= <del class="diffchange diffchange-inline">2\,</del>-\<del class="diffchange diffchange-inline">,21 </del>= <del class="diffchange diffchange-inline">-19 </del>&lt;/math&gt;</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>&lt;math&gt; P(-<ins class="diffchange diffchange-inline">2</ins>) = <ins class="diffchange diffchange-inline">(-</ins>2<ins class="diffchange diffchange-inline">+2) </ins>\cdot (-2+<ins class="diffchange diffchange-inline">6) = 0 </ins>\cdot <ins class="diffchange diffchange-inline">4 = 0 &lt;/math&gt;</ins></div></td></tr> <tr><td colspan="2">&#160;</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>&#160;</div></td></tr> <tr><td colspan="2">&#160;</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">och</ins></div></td></tr> <tr><td colspan="2">&#160;</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>&#160;</div></td></tr> <tr><td colspan="2">&#160;</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">&lt;math&gt; P</ins>(-<ins class="diffchange diffchange-inline">6</ins>) = <ins class="diffchange diffchange-inline">(-6+</ins>2<ins class="diffchange diffchange-inline">) </ins>\cdot <ins class="diffchange diffchange-inline">(</ins>-<ins class="diffchange diffchange-inline">6+6) </ins>= -<ins class="diffchange diffchange-inline">4 </ins>\<ins class="diffchange diffchange-inline">cdot 0 </ins>= <ins class="diffchange diffchange-inline">0 </ins>&lt;/math&gt;</div></td></tr> </table>

Taifun https://minidemo.mathonline.se/index.php?title=1.2_L%C3%B6sning_3b&diff=966&oldid=prev 2010-12-09T20:27:01Z

<p>Created page with &quot;&lt;math&gt; P(x) = 2\,x^2 +\,21\,x &lt;/math&gt; &lt;math&gt; P(-1) = 2 \cdot (-1)^2 +\,21 \cdot (-1) = 2 \cdot 1\,-\,21 = 2\,-\,21 = -19 &lt;/math&gt;&quot;</p> <p><b>Ny sida</b></p><div>&lt;math&gt; P(x) = 2\,x^2 +\,21\,x &lt;/math&gt;<br /> <br /> &lt;math&gt; P(-1) = 2 \cdot (-1)^2 +\,21 \cdot (-1) = 2 \cdot 1\,-\,21 = 2\,-\,21 = -19 &lt;/math&gt;</div>

Taifun