Question

Given `f(x) = x +2` and `g(x)= 2x^2-4x+2`, how do you find `f(x)*g(x)`?

Answer 1

`2x^3-6x+4`

Explanation:

You would perform the following operation:

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

Then let's multiply term by term the given polynomials and get:

`2x^3cancel(-4x^2)+2xcancel(+4x^2)-8x+4`

Then let's sum the like terms and get:

`2x^3-6x+4`