Tentukan sisa dan hasil bagi x³+2x²-3x-4 dibagi x²-2x-1

<p>Jawaban:&nbsp;</p><p>Sisa = 6x</p><p>Hasil bagi = x + 4</p><p>&nbsp;</p><p>Konsep:</p><p>Polinomial bersusun</p><p>Kita akan mengerjakan dengan pembagian bersusun</p><p>Cara pembagian bersusun :</p><p>1. Bagi suku banyak dengan variabel tertinggi ke pembagi variabel tertinggi</p><p>2. Kalikan hasilnya dengan pembagi</p><p>3. Kurangi suku banyak dengan hasil kali pada langkah 2</p><p>4. Bagi kembali sisa suku banyak variabel tertinggi dengan pembagi variabel tertinggi</p><p>5. Langkah berlanjut sampai sisa suku banyak tidak dapat dibagi lagi oleh pembagi</p><p>&nbsp;</p><p>Pembahasan:</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<strong>x + 4 → hasil bagi</strong></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; _____________</p><p>x² - 2x - 1 / x³ + 2x² - 3x - 4</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; x³ - 2x² - x&nbsp;</p><p>&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; 4x² - 2x - 4</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 4x² - 8x - 4</p><p>&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;&nbsp;<strong> &nbsp; &nbsp;6x → sisa</strong></p><p>&nbsp;</p><p>Jadi, sisa dan hasil bagi x³ + 2x² - 3x - 4 dibagi x² - 2x - 1 berturut-turut adalah 6x dan x + 4.</p>