Question

Find the remainder when
f(x) = 8x^3 + 4x^2 – 13x + 3

is divided by 2x + 5.

A. 1241/125

B. -129/2

C. 69/125

D. 183

Answer 1

Dividing f(x) by 2x + 5 leaves the same remainder as division by x + 5/2. By the remainder theorem, it is equal to f (-5/2), so the remainder here is

f (-5/2) = 8 (-5/2)³ + 4 (-5/2)² - 13 (-5/2) + 3 = -129/2