If f(x)=x^3-2x^2-x+5, then remainder of g(x)=f(f(x)) divided by (x-2) is?

Question

a)3

b) 5

c) 7

d) 9

e) 11

Answer 1

By the Remainder Theorem, the remainder when a polynomial P(x) is divided by x - c is P(c).

So, if f(x) = x³ - 2x² - x + 5 and g(x) = f(f(x)), then the remainder when g(x) is divided by x - 2 is g(2).

g(2) = f(f(2)) = f(3) = 11