Using the remainder theorem to evaluate a polynomial

Question

Use the remainder theorem to find P(-3) for P(x) = x^3 - 2x^2 + 7

Specifically, give the quotient and the remainder for the associated division and the value of P(-3).

QUOTIENT = ?

REMAINDER = ?

P(-3) = ?

Answer 1

P(-3) = (-3)^3 -2(-3)^2 + 7 = -27-18 + 7 = -38

quotient = x^2 -5x +15

remainder = -38

P(-3) = -38

use synthetic or long division to find the quotient and the remainder