Subjects algebra

Nilai Polinomial B7F557

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. Diberikan polinomial $$f(x) = x^4 - 2x^3 - 7x^2 - 5x - 6$$ dan diminta menentukan nilai polinomial tersebut untuk $$x = 3$$. 2. Substitusikan nilai $$x = 3$$ ke dalam polinomial: $$f(3) = 3^4 - 2 \times 3^3 - 7 \times 3^2 - 5 \times 3 - 6$$ 3. Hitung setiap suku: $$3^4 = 81$$ $$3^3 = 27$$ $$3^2 = 9$$ 4. Masukkan hasil tersebut ke persamaan: $$f(3) = 81 - 2 \times 27 - 7 \times 9 - 5 \times 3 - 6$$ 5. Hitung perkalian: $$2 \times 27 = 54$$ $$7 \times 9 = 63$$ $$5 \times 3 = 15$$ 6. Substitusikan kembali: $$f(3) = 81 - 54 - 63 - 15 - 6$$ 7. Hitung hasil akhir: $$81 - 54 = 27$$ $$27 - 63 = -36$$ $$-36 - 15 = -51$$ $$-51 - 6 = -57$$ Jadi, nilai polinomial $$f(3) = -57$$.