Question

Tentukan nilai a agar bentuk x^4-2x^3-(a+1)x^2+(2a+1)x-6 habis dibagi oleh (x-3)

Answer 1

Polinomial

f(x) = x^4 - 2x^3 - (a + 1)x^2 + (2a + 1)x - 6

x - 3 = 0 → x = 3

f(3) = 0

3^4 - 2.3^3 - (a + 1)3^2 + (2a + 1)(3) - 6 = 0

81 - 54 - 9a - 9 + 6a + 3 - 6 = 0

15 - 3a = 0

3a = 15

a = 5 ✔