jika f(x) dibagi(x+1) dan (x-1) masing masing bersisa -3 dan 5 tentukan sisanya jika f(x) dibgi(x^2 -1)

Bab Polinomial
Matematika SMA Kelas XI

f(x) = ax + b

x + 1 = 0
x = -1 → -3

x - 1 = 0
x = 1 → 5

f(-1) = -a + b = -3
f(1)  =   a + b = 5
        ------------------ -
               -2a = -8
                  a = 4

a + b = 5
4 + b = 5
b = 5 - 4
b = 1

sisanya = f(x) = 4x + 1