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
