Question

What is the remainder when x3+4x2−7x−10 is divided by x+4?

Enter your answer as an integer, like this: 42

Answer 1

18

Explanation:

If a polynomial f(x) is divided by (x + h) then the remainder is equal to f(- h)

Given

f(x) = x³ + 4x² - 7x - 10 and divided by (x + 4), then the remainder is

f(- 4) = (- 4)³ +4(- 4)² - 7(- 4) - 10 = - 64 + 64 + 28 - 10 = 18

Thus the remainder is 18