Question

In each of the following, using the remainder Theorem, find the remainder when f(x) is divided by g(x) and verify the result y actual division.

f(x) = $x^3+4x^2-3x+10$, g(x) = x + 4

Answer 1

f(x) = $x^3+4x^2-3x+10$, g(x) = x + 4

x + 4 = 0 $\Rightarrow$ x = - 4

$\therefore$ Remainder = f(-4)

$=(-4{)}^3+4(-4{)}^2-3(-4)+10$

= - 64 + 64 + 12 + 10 = 22

$\therefore$ Remainder = 22