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<p> </p> <div align="center"> <table style="background-color: #000066; background-image: none; color: #ffcc00; border: 4px solid #000066; float: none; text-align: center; vertical-align: top; width: 412px;" border="4" frame="void" rules="none" align="middle"> <tbody> <tr> <td valign="top" width="NaNpx"><span style="font-size: large; color: #ffff99;"><span>Multipl<span class="nolink">icaci</span>ó d'un monomi <br />per un polinomi</span></span></td> </tr> <tr> <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) per un monomi, multipliquem tots els monomis de P(x) per aquest monomi.</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>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: #ff0000;">-14x<sup>7</sup></span><span style="color: #0000ff;">+ 12x<sup>6</sup></span> - 6x<sup>5</sup><span style="color: #ff9900;">+ 2x<sup>4</sup></span></em></strong></span> <div align="center"><span style="color: #000000;"><strong><em><span style="color: #ff9900;"><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>)· </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: #006600;"><span style="color: #ff0000;">-14x</span><sup><span style="color: #ff0000;">7</span><br /></sup></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>4</sup>)·</span></em></strong></span>(-6x<sup>2</sup></span></em></strong></span><span style="color: #000000;"><strong><em><span style="color: #0000ff;">) = 12x<sup>6</sup><br /></span></em></strong></span><span style="color: #000000;"><strong><em><span style="color: #000000;"><strong><em><span style="color: #006600;">(-2x<sup>4</sup>)·</span></em></strong></span>3x = -6x<sup>5</sup></em></strong><strong><em><span style="color: #ff9900;"><br /></span></em></strong></span><span style="color: #000000;"><strong><em><span style="color: #ff9900;"><span style="color: #000000;"><strong><em><span style="color: #006600;">(-2x<sup>4</sup>)·</span></em></strong></span>(- 1) = 2x<sup>4</sup></span></em></strong></span></div> </div> </td> </tr> </tbody> </table> </div> <p><br /><br /></p>
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