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Junior J

22 Februari 2025 04:19

Cari 2P + Q + R + S.• Faktor pembilang: x³ + 5x² + 2x - 8 = (x - 1)(x + 2)(x + 4).• Faktor penyebut: 2x³ + 8x² + 2x - 12 = 2(x - 1)(x + 2)(x + 3).• Sederhanakan: (x + 4) / 2(x + 3) = (Px + Q) / (Rx + S).• Asumsikan Rx + S = 2x + 6, jadi R = 2, S = 6.• Pembilang: Px + Q = x + 4, jadi P = 1, Q = 4.• Hitung: 2P + Q + R + S = 2(1) + 4 + 2 + 6 = 14.Hasil: 14, tapi pilihan (A. -3, B. -1, C. 1, D. 2) tidak ada 14. Mungkin ada kesalahan di soal/pilihan.

Cari 2P + Q + R + S.

• Faktor pembilang: x³ + 5x² + 2x - 8 = (x - 1)(x + 2)(x + 4).

• Faktor penyebut: 2x³ + 8x² + 2x - 12 = 2(x - 1)(x + 2)(x + 3).

• Sederhanakan: (x + 4) / 2(x + 3) = (Px + Q) / (Rx + S).

• Asumsikan Rx + S = 2x + 6, jadi R = 2, S = 6.

• Pembilang: Px + Q = x + 4, jadi P = 1, Q = 4.

• Hitung: 2P + Q + R + S = 2(1) + 4 + 2 + 6 = 14.

Hasil: 14, tapi pilihan (A. -3, B. -1, C. 1, D. 2) tidak ada 14. Mungkin ada kesalahan di soal/pilihan.

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