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<p><br><strong>1. Pembagian polinomial</strong></p><p>Soal:<br>(x³ - 7x² + 2x + 6) ÷ (x + 1)</p><p><strong>Pembahasan:</strong><br>Gunakan nilai x = -1 (karena penyebut x+1).<br>Lakukan synthetic division:<br>1 → tetap<br>-7 + (1 • -1) = -8<br>2 + (-8 • -1) = 10<br>6 + (10 • -1) = -4</p><p>Hasil bagi = x² - 8x + 10<br>Sisa = -4</p><p><strong>Jawaban:</strong><br>Bagi = x² - 8x + 10<br>Sisa = -4</p><p>====================================<br><strong>2. Menentukan P, Q, R dari matriks</strong></p><p>Diketahui persamaan matriks:<br>(-2P Q) = (4 1)<br>( 1 -1) (1 R)</p><p><strong>Pembahasan:</strong><br>Samakan elemen yang bersesuaian:<br>-2P = 4 → P = -2<br>Q = 1<br>-1 = R → R = -1</p><p>P + Q + R = -2 + 1 - 1 = -2</p><p><strong>Jawaban:</strong><br>P = -2<br>Q = 1<br>R = -1<br>P + Q + R = -2</p><p>====================================<br><strong>3. Penjumlahan matriks A + B</strong></p><p>A = (-10 2)<br>   ( 7 3)</p><p>B = ( 4 -11)<br>   ( 9 3)</p><p><strong>Pembahasan:</strong><br>Jumlahkan per-elemen:<br>-10 + 4 = -6<br>2 + (-11) = -9<br>7 + 9 = 16<br>3 + 3 = 6</p><p><strong>Jawaban:</strong><br>A + B = (-6 -9)<br>     (16 6)</p><p>====================================<br><strong>4. Mencari invers matriks C</strong></p><p>C = (2 -1)<br>   (-4 3)</p><p><strong>Pembahasan:</strong><br>Det C = (2 • 3) - (-1 • -4) = 6 - 4 = 2<br>Rumus invers:<br>1/det × (d -b ; -c a)</p><p>Masukkan nilai:<br>1/2 × (3 1 ; 4 2)</p><p><strong>Jawaban:</strong><br>C⁻¹ = (3/2 1/2)<br>   ( 2 1 )</p>