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 <question type="category"><category><text>4t ESO/4.03 POLINOMIS/4.03.2 Polinomis: Operacions</text></category></question>
 
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      <text>4.03.2.20 TEORIA: SUBTRACCIÓ DE POLINOMIS</text>
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<td valign="top" width="NaNpx"><span style="color: #ffff99; font-size: large;">Subtracció de polinomis</span></td>
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<td style="background-color: #ffffcc; background-image: none; color: #000066; text-align: justify; vertical-align: top; border-style: none;" valign="top" width="NaNpx"><strong>Per a restar el polinomi Q(x) del polinomi P(x), i, restem dels monomis de P(x) els monomis de mateix grau de Q(x).</strong><br /><br /><span style="color: #000000;"><strong><em>Exemple: <span style="color: #ff0000;"><br /></span>(</em></strong></span><span style="color: #000000;"><strong><em><span style="color: #006600;">-2x<sup>4</sup></span> + </em></strong></span><span style="color: #000000;"><strong><em><span style="color: #ff0000;">7x<sup>3</sup></span><span style="color: #0000ff;">+ 6x<sup>2</sup></span> + 3x <span style="color: #ff9900;">- 1</span></em></strong></span>) - <span style="color: #000000;"><strong><em>(<span style="color: #006600;">-5x<sup>4</sup></span><span style="color: #0000ff;">- 6x<sup>2</sup></span> + 3x <span style="color: #ff9900;">- 5</span></em></strong></span>) =<br />
<div align="center"><span style="color: #000000;"><strong><em><span style="color: #006600;">3x<sup>4</sup></span> + </em></strong></span><span style="color: #000000;"><strong><em><span style="color: #ff0000;">7x<sup>3</sup></span><span style="color: #0000ff;">+ 12x<sup>2</sup></span><span style="color: #ff9900;">+ 4<br /></span></em></strong></span>
<div align="justify"><span style="color: #ff9900;"><em><strong><span style="color: #000000;">Perquè:</span><br /></strong></em></span><span style="color: #000000;"><strong><em><span style="color: #006600;">-2x<sup>4</sup> - (-5x<sup>4</sup>) = </span></em></strong></span><span style="color: #000000;"><strong><em><span style="color: #006600;">3x<sup>4<br /></sup></span></em></strong></span><span style="color: #000000;"><strong><em><span style="color: #ff0000;">7x<sup>3 </sup>-</span></em></strong></span><span style="color: #000000;"><strong><em><span style="color: #ff0000;"> 0</span></em></strong></span><span style="color: #000000;"><strong><em><span style="color: #ff0000;">= 7x<sup>3<br /></sup></span></em></strong></span><span style="color: #000000;"><strong><em><span style="color: #0000ff;">6x<sup>2</sup></span></em></strong></span><span style="color: #000000;"><strong><em><span style="color: #0000ff;">- (- 6x<sup>2</sup></span><span style="color: #0000ff;">) </span></em></strong></span><span style="color: #000000;"><strong><em><span style="color: #0000ff;">= 12x<sup>2</sup><br /></span></em></strong></span><span style="color: #000000;"><strong><em>3x - 3x = 0x </em></strong><strong><em>(que no s'escriu)</em></strong><strong><em><span style="color: #ff9900;"><br />- 1-(-5) = 4</span></em></strong></span></div>
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