Tentukan hasil bagi dan sisa jika: c. x⁴ - 15x² + 11 dibagi x - 4

<p>Jawaban yang benar adalah x³ + 4x² + x + 4 dan 27</p><p>&nbsp;</p><p>Kita dapat mencari hasil bagi dan sisa dengan pembagian bersusun seperti berikut</p><p>&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; x³ + 4x² + x + 4</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;-------------------</p><p>x - 4 / &nbsp;x⁴ - 15x² + 11</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; x⁴ - 4x³</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ----------------- -</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;4x³ - 15x² + 11</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;4x³ - 16x²</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;------------------ -</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; x² + 11</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; x² - 4x</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; -------- -</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 4x + 11</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 4x - 16</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ---------- -</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 27</p><p>&nbsp;</p><p>Sehingga diperoleh</p><p>hasil bagi = x³ + 4x² + x + 4</p><p>sisa = 27</p><p>&nbsp;</p><p>Jadi, hasil bagi dan sisa adalah x³ + 4x² + x + 4 dan 27</p><p>&nbsp;</p>