Question

(4x-3)(2x^2-7x+1) what is the product of this please help!

Answer 1

`8x^(3)-34x^(2)+25x-3`

Explanation:

In order to solve this problem, lets take the two terms in the binomial (4x and -3) and, for each one, multiply them by each term in the trinomial (2x^2, -7x, and 1):

`(4x-3)(2x^(2)-7x+1)`

`(4x*2x^(2))+(4x*-7x)+(4x*1)+(-3*2x^(2))+(-3*-7x)+(-3*1)`

`8x^(3)+(-28x^(2))+4x+(-6x^(2))+21x+(-3)\\`

`8x^(3)-28x^(2)+4x-6x^(2)+21x-3`

Let's combine like terms to get our final answer:

`8x^(3)-28x^(2)-6x^(2)+4x+21x-3`

`8x^(3)-34x^(2)+25x-3`