Question

15 POINTS! + BRAINLIEST.

Answer 1

Answer:

x^6 + 2 x^5 - 6 x^4 + 3 x^2 + 6 x - 18

Step-by-step explanation:

f(x) = x^2 +2x-6

g(x) =x^4+3

We want to find f*g

(f*g)(x) = (x^2 +2x-6)(x^4+3)

Distribute

          =x^2*x^4 +3x^2 +2x*x^4 +2x*3 +-6x^4 -6*3

         = x^6 +3x^ +2x^5 +2x^3 -6x^4 -18

Combine like terms

         =x^6 + 2 x^5 - 6 x^4 + 3 x^2 + 6 x - 18