Question

Jika 2x^3 - 3x^2 - 5x + 10 = (Ax+B) (x-2) (x-1)+C. Maka tentukan nilai A,B,C!!!

Answer 1

2x³ - 3x² - 5x + 10 = (Ax + B)(x² - 1) + C
                           = Ax³ - Ax + Bx² - B + C
                           = Ax³ + Bx² - Ax - B + C

A = 2
B = - 3
C - B = 10
C + 3 = 10
C = 7