Question

When the function f(x) is divided by x + 2, the quotient is x² - 5x + 8 and the

remainder is 8. Find the function f(x) and write the result in standard form.

Answer 1

Explanation:

this means :

f(x) / (x + 2) = (x² - 5x + 8) + 8/(x + 2)

f(x) = (x + 2)(x² - 5x + 8) + 8 =

= x³ - 5x² + 8x + 2x² - 10x + 16 + 8 =

= x³ - 3x² - 2x + 24