Question

Multiply the polynomial by distribution. Show your work and explain the steps you used to solve.

- 8x(x^2 – 8x + 3)

Answer 1

Explanation:

`- 8x( {x}^(2) - 8x + 3) \\ = ( - 8x * {x}^(2)) - ( - 8x * 8x) + ( - 8x * 3) \\ = - 8 {x}^(3) + 64 {x}^(2) - 24x`

distribute -8x to each term in the perenthesis i.e. multiply each term by -8x

Answer 2

-8x^3 + 64x^2 - 24x

Explanation:

To distribute, we must multiple -8x to each term:

-8x(x^2) - 8x(-8x) - 8x(3)

-8x^3 + 64x^2 - 24x