Question

If p(x)=2x^2 -4 and q(x)=x-3, what is (p*q)(x)

Answer 1

2x^3 - 6x^2 - 4x + 12.

Explanation:

(p*q) (x) = (2x^2 - 4)(x - 3)

= 2x^3 - 6x^2 - 4x + 12.

Answer 2

For this case we have the following functions:

`p (x) = 2x ^ 2-4\\q (x) = x-3`

We must find
`(p * q) (x).` For definition, we have to:

`(p * q) (x) = p (x) * q (x)`

So:

`(p * q) (x) = (2x ^ 2-4) (x-3)`

We apply distributive property:

`(p * q) (x) = 2x ^ 3-6x ^ 2-4x + 12`

Answer:

`(p * q) (x) = 2x ^ 3-6x ^ 2-4x + 12`