Question

Use remainder theorem to find the remainder when the function f(x) = x^3 + 5x^2 - 7x is divided by (x+4)

Answer 1

44 is the correct one

Answer 2

Remainder is 44.

Explanation:

Remainder theorem says that if f(x) is divided by the linear polynomial (x-a) , then remainder is f(a)

In given question , f(x) = x³ + 5x² -7x

linear polynomial is (x+4) = (x - (-4) )

so from remainder theorem , remainder = f(-4) = (-4)³ + 5 ( -4)² - 7(-4)

= -64 + 80+28=44

Hence Remainder is 44.