Use the remainder theorem to find P(-3) for P(x) = x^3 + 4x^2 - 2x -4. Specifically, give the quotient and the remainder for the associated division and the value of P(-3)

Question

QUOTIENT =?

REMAINDER = ?

P(-3)=?

Answer 1

P(x) =x^3+4x^2 -2x-4

P(-3) =(-3)^3 + 4(-3)^2 -2(-3) -4

=-27 +36 +6 -4 = 11

P(-3) = 11

divide x+3 into the cubic polynomial to get

a quotient of x^2 +x -5

and a remainder of 11