What is (f⋅g)(x)?
(f * g) (x) =
f(x) * g(x) =
[ x^3 - 4x + 2 ] * [ x^2 + 2 ] =
x^2 [ x^3 - 4x + 2] + 2 [ x^3 - 4x + 2 ] =
x^5 - 4x^3 + 2x^2 + 2x^3 - 8x + 4 combine like terms
x^5 - 2x^3 + 2x^2 - 8x + 4
