tentukan sisa pembagian polinomial 2x²+7x-8 dibagi 2x+1

<p>Sisa pembagian polinomial 2x² + 7x - 8 dibagi 2x + 1 adalah -11. Sedangkan untuk hasil baginya adalah x + 3.</p><p>&nbsp;</p><p>Penjelasan</p><p><strong>Diketahui</strong></p><p>(2x² + 7x - 8) : (2x + 1)</p><p><strong>Ditanya</strong></p><p>Sisa pembagian = ?</p><p><strong>Jawab</strong></p><p><strong>Cara 1</strong>: Pembagian bersusun</p><p>2x + 1 √(2x² + 7x - 8) = x + 3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;2x² + x&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ------------ -</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 6x - 8</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 6x + 3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;-------- -</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;-11&nbsp;</p><p>Jadi sisa pembagiannya adalah -11</p><p><strong>Cara 2</strong>: Metode Horner</p><p>(2x + 1) =&gt; x = -1/2</p><p>-1/2 | 2 &nbsp; &nbsp; &nbsp;7 &nbsp; &nbsp; &nbsp;-8</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;| &nbsp; &nbsp; &nbsp; &nbsp; -1 &nbsp; &nbsp; &nbsp;-3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;---------------- +</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2 &nbsp; &nbsp; &nbsp;6 &nbsp;| &nbsp;<strong>-11</strong></p><p>Jadi sisa pembagiannya adalah -11</p>