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1.1 Fördjupning till Polynom - Versionshistorik
2026-04-08T04:06:49Z
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2021-11-05T09:31:15Z
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2021-11-05T09:30:48Z
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2020-11-15T09:25:31Z
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2020-04-28T15:43:20Z
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<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><div class="tolv"> <!-- tolv5 --></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><div class="tolv"> <!-- tolv5 --></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">Vanligtvis </del>behandlar <del class="diffchange diffchange-inline">man </del><b><span style="color:red">polynomdivision</span></b> genom att direkt dividera <del class="diffchange diffchange-inline">polynom </del>med varandra<del class="diffchange diffchange-inline">. Man använder </del>olika speciella uppställningstekniker<del class="diffchange diffchange-inline">, vilket inte besvarar frågan vilket man ska välja</del>. Jämförelse av koefficienter <del class="diffchange diffchange-inline">löser polynomdivision på ett generellt sätt, eftersom den </del>är en generell metod inte bara för faktorisering av polynom <del class="diffchange diffchange-inline">utan även </del>för andra problem där ett polynom är efterfrågad. <del class="diffchange diffchange-inline">Dessutom </del>får <del class="diffchange diffchange-inline">man </del>mer insikt i polynomens struktur.</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">De flesta läroböcker </ins>behandlar <b><span style="color:red">polynomdivision</span></b> genom att direkt dividera <ins class="diffchange diffchange-inline">polynomen </ins>med varandra <ins class="diffchange diffchange-inline">och därvid använda </ins>olika<ins class="diffchange diffchange-inline">, </ins>speciella uppställningstekniker <ins class="diffchange diffchange-inline">som alla är lite besvärliga</ins>. Jämförelse av koefficienter är en generell metod<ins class="diffchange diffchange-inline">, </ins>inte bara <ins class="diffchange diffchange-inline">för polynomdivision utan även </ins>för faktorisering av polynom <ins class="diffchange diffchange-inline">samt </ins>för andra problem<ins class="diffchange diffchange-inline">, </ins>där ett polynom är efterfrågad<ins class="diffchange diffchange-inline">, t</ins>.<ins class="diffchange diffchange-inline">ex. när ett polynom är lösningen till en algebraisk eller en differentialekvation. Man </ins>får mer insikt i polynomens struktur.</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>* I litteraturen förekommer även ett annat namn för den metod som beskrevs ovan. Istället för [[1.1_Fördjupning_till_Polynom#J.C3.A4mf.C3.B6relse_av_koefficienter|<b><span style="color:blue">jämförelse av koefficienter</span></b>]] som vi använder pratar man om <b><span style="color:red">metoden med obestämda koefficienter</span></b> (eng.: the method of undetermined coefficients). Med obestämda koefficienter menar man den ansats som man i början gör med obestämda koefficienter som man sedan bestämmer under metodens gång.</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>* I litteraturen förekommer även ett annat namn för den metod som beskrevs ovan. Istället för [[1.1_Fördjupning_till_Polynom#J.C3.A4mf.C3.B6relse_av_koefficienter|<b><span style="color:blue">jämförelse av koefficienter</span></b>]] som vi använder pratar man om <b><span style="color:red">metoden med obestämda koefficienter</span></b> (eng.: the method of undetermined coefficients). Med obestämda koefficienter menar man den ansats som man i början gör med obestämda koefficienter som man sedan bestämmer under metodens gång.</div></td></tr>
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Taifun
https://minidemo.mathonline.se/index.php?title=1.1_F%C3%B6rdjupning_till_Polynom&diff=28806&oldid=prev
Taifun den 28 april 2020 kl. 14.06
2020-04-28T14:06:14Z
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<td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 28 april 2020 kl. 14.06</td>
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<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><!-- [[Media: Lektion_3_Polynom_Ruta_a.pdf|<strong><span style="color:blue">Lektion 3 Polynom</span></strong>]] <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><!-- [[Media: Lektion_3_Polynom_Ruta_a.pdf|<strong><span style="color:blue">Lektion 3 Polynom</span></strong>]]</div></td></tr>
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<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>[[Media: Lektion 4 Polynom Ruta.pdf|<strong><span style="color:blue">Lektion 4 Polynom: Fördjupning</span></strong>]]</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>[[Media: Lektion 4 Polynom Ruta.pdf|<strong><span style="color:blue">Lektion 4 Polynom: Fördjupning</span></strong>]] <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="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>== <b><span style="color:#931136">Polynomfunktioner av högre grad</span></b> ==</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>== <b><span style="color:#931136">Polynomfunktioner av högre grad</span></b> ==</div></td></tr>
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Taifun
https://minidemo.mathonline.se/index.php?title=1.1_F%C3%B6rdjupning_till_Polynom&diff=28805&oldid=prev
Taifun den 28 april 2020 kl. 14.05
2020-04-28T14:05:25Z
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<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>[[Matte:Copyrights|Copyright]] © <del class="diffchange diffchange-inline">2011-2018 Math Online Sweden </del>AB. All Rights Reserved.</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> </div></td></tr>
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