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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>4.03.2.40 TEORIA: MULTIPLICACIÓ DE POLINOMIS</text>
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<td valign="top" width="NaNpx"><span style="color: #ffff99; font-size: large;">Multiplicació de 2 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 multiplicar el polinomi P(x) pel polinomi Q(x) multipliquem TOTS els monomis de P(x) per TOTS els monomis de Q(x). Agrupem i ordenem.</strong><br /><br /><span style="color: #000000;"><strong><em>Exemple: <span style="color: #ff0000;"><br /></span><span style="color: #006600;">(</span></em></strong></span><span style="color: #000000;"><strong><em><span style="color: #006600;">-2x<sup>2</sup>+3x)</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: #000000;"><strong><em><span style="color: #0000ff;">+ 2x</span></em></strong></span><span style="color: #ff9900;"> - 1</span></em></strong></span>)<br />= <span style="color: #000000;"><strong><em><span style="color: #006600;">(-2x<sup>2</sup>)· </span></em></strong></span><span style="color: #000000;"><strong><em><span style="color: #006600;"><span style="color: #000000;"><strong><em><span style="color: #ff0000;">7x<sup>3</sup></span></em></strong></span></span></em></strong></span> + <span style="color: #000000;"><strong><em><span style="color: #0000ff;"><span style="color: #000000;"><strong><em><span style="color: #006600;">(-2x<sup>2</sup>)·</span></em></strong></span></span></em></strong></span><strong><em><span style="color: #0000ff;">2x</span></em></strong> + <span style="color: #000000;"><strong><em><span style="color: #0000ff;"><span style="color: #000000;"><strong><em><span style="color: #006600;">(-2x<sup>2</sup>)·</span></em></strong></span><span style="color: #ff9900;">(-1</span></span></em></strong></span><span style="color: #000000;"><strong><em><span style="color: #0000ff;"><span style="color: #ff9900;">)</span></span></em></strong></span> + <span style="color: #000000;"><strong><em><span style="color: #000000;"><strong><em><span style="color: #006600;">3x·</span></em></strong></span></em></strong></span><span style="color: #000000;"><strong><em><span style="color: #000000;"><strong><em><span style="color: #006600;"><span style="color: #000000;"><strong><em><span style="color: #ff0000;">7x<sup>3</sup></span></em></strong></span></span></em></strong></span></em></strong></span> + <span style="color: #000000;"><strong><em><span style="color: #000000;"><strong><em><span style="color: #0000ff;"><span style="color: #000000;"><strong><em><span style="color: #006600;">3x·</span></em></strong></span></span></em></strong></span><strong><em><span style="color: #0000ff;">2x</span></em></strong></em></strong></span> + <span style="color: #000000;"><strong><em><span style="color: #ff9900;"><span style="color: #000000;"><strong><em><span style="color: #006600;">3x·</span></em></strong></span>(- 1)</span></em></strong></span><br />= <span style="color: #000000;"><strong><em><span style="color: #ff0000;">-14x<sup>5</sup></span><span style="color: #0000ff;">- 4x<sup>3</sup></span><span style="color: #ff9900;">+ 2x<sup>2 </sup></span></em></strong></span><span style="color: #000000;"><strong><em><span style="color: #ff0000;">+ 21x<sup>3</sup></span><span style="color: #0000ff;">+ 6x<sup>2</sup></span><span style="color: #ff9900;">- 3x</span></em></strong></span>
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<div align="left"><span style="color: #000000;"><em>Agrupat i ordenat: </em><strong><em>-14x<sup>5</sup> + 17x<sup>3</sup> + 8x<sup>2 </sup>- 3x</em></strong></span></div>
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