Question

Multiply the polynomials (5x^2+2x+8)(7x-6)

Answer 1

                 5x^2 + 2x + 8
                 x          7x - 6
             -30x^2 - 12x -48
35x^3 + 14x^2 + 56x + 0
35x^3 - 16x^2 + 44x - 48

Answer 2

Answer:

$35x^{3}+14x^{2} +56x-30x^{2} -12x-48\\35x^{3}-16x^{2} +44x -48$

Step-by-step explanation:

In order to multiply you just have to go term by term, you just first multiply 7x by the whole trinomial:

($5x^{2} +2x+8$)(7x)=$35x^{3}+14x^{2} +56x$

ANd then you multiply the second term: -6

($5x^{2} +2x+8$)(-6)=$-30x^{2} -12x-48$

ANd now you just have to add them up together:

$35x^{3}+14x^{2} +56x$

         $-30x^{2} -12x-48$

And this would be equal to:

$35x^{3}-16x^{2} +44x -48$