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

`35x^(3)+14x^(2) +56x-30x^(2) -12x-48\\35x^(3)-16x^(2) +44x -48\\`

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`