Find P middot Q x Px x 4 Qx x2 6x 3 P middot Q x Simpl

Find (P middot Q) (x). P(x) = x + 4; Q(x) = x^2 + 6x + 3 (P middot Q) (x) = (Simplify your answer.)

Solution

P(x) = x + 4

Q(x) = x² + 6x + 3

(P * Q) (x) = P(x) * Q(x)

                 = (x + 4) * (x² + 6x + 3)

                 = x³ + 6x² + 3x + 4x² + 24x + 12

                 = x³ + 10x² + 27x + 12