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<p>Pembagian polinomial.</p><ol><li>(x³ + 2x² + 4x - 6) : (x² - 8x + 16) =&gt; Hasil = x + 10 dan Sisa = 68x - 166</li><li>(3x³ + 2x² - 4x + 1) : (x² + 2x - 7) =&gt; Hasil = 3x - 4 dan Sisa = 25x - 27</li></ol><p>&nbsp;</p><p>Penjelasan</p><p>&nbsp;</p><p>Nomor 1</p><p><strong>Diketahui</strong></p><p>(x³ + 2x² + 4x - 6) : (x² - 8x + 16)&nbsp;</p><p><strong>Ditanya</strong></p><p>Hasil dan sisa pembagian dengan cara faktor?</p><p><strong>Jawab</strong></p><p>x² - 8x + 16 = (x - 4)(x - 4)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; x = 4 atau x = 4</p><p>4 | 1 &nbsp; &nbsp;2 &nbsp; &nbsp; 4 &nbsp; &nbsp; &nbsp;-6</p><p>&nbsp; &nbsp; | &nbsp;∗ &nbsp; &nbsp;4 &nbsp; &nbsp;24 &nbsp; &nbsp;112</p><p>&nbsp; &nbsp; --------------------- +</p><p>4 &nbsp;| 1 &nbsp; &nbsp; 6 &nbsp; &nbsp;28 &nbsp;| &nbsp;106 =&gt; S₁</p><p>_&nbsp; &nbsp; &nbsp;| ∗ &nbsp; &nbsp;4 &nbsp; &nbsp;40</p><p>&nbsp; &nbsp; --------------- +</p><p>&nbsp; &nbsp; &nbsp; &nbsp;1 &nbsp; 10 &nbsp;| 68 =&gt; S₂</p><p>Hasil : 1x + 10 = x + 10</p><p>Sisa = S₂(x - 4) + S₁</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 68(x - 4) + 106</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 68x - 272 + 106</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 68x - 166</p><p>&nbsp;</p><p>Nomor 2</p><p><strong>Diketahui</strong></p><p>(3x³ + 2x² - 4x + 1) : (x² + 2x - 7)&nbsp;</p><p><strong>Ditanya</strong></p><p>Hasil dan sisa pembagian dengan cara faktor?</p><p><strong>Jawab</strong></p><p>x² + 2x - 7</p><ul><li>a = 1</li><li>b = 2</li><li>c = -7</li></ul><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;| 3 &nbsp; &nbsp;2 &nbsp; | &nbsp;-4 &nbsp; &nbsp; &nbsp;1</p><p>-b/a = -2 &nbsp;| &nbsp;∗ &nbsp; -6 &nbsp;| &nbsp; 8 &nbsp; &nbsp; ∗</p><p>-c/a = 7 &nbsp; &nbsp;| &nbsp;∗ &nbsp; &nbsp;∗ &nbsp; | &nbsp;21 &nbsp; -28</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;--------------------- +</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;3 &nbsp; -4 | 25 &nbsp; &nbsp;-27</p><p>Hasil = 3x - 4</p><p>Sisa = 25x - 27</p>