Question

What is the remainder when f(x) = 2x^3 – 12x^2 + 11x + 2 is divided by x – 5? Show your work.

Answer 1

7

Explanation:

given a polynomial divide by (x - a) then the remainder is f(a)

here f(x) is divided by (x - 5) , so remainder is

f(5) = 2(5)³ - 12(5)² + 11(5) + 2

= 2(125) - 12(25) + 55 + 2

= 250 - 300 + 57

= - 50 + 57

= 7