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

Mar 6, 2017

$2 {x}^{3} - 6 x + 4$

#### Explanation:

You would perform the following operation:

$f \left(x\right) \cdot g \left(x\right) = \left(x + 2\right) \cdot \left(2 {x}^{2} - 4 x + 2\right)$

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

$2 {x}^{3} \cancel{- 4 {x}^{2}} + 2 x \cancel{+ 4 {x}^{2}} - 8 x + 4$

Then let's sum the like terms and get:

$2 {x}^{3} - 6 x + 4$