Question

What is the product of the polynomials below?
(4x^3+8x)(x^2-3)

Answer 1

4x^5 - 4x³ - 24x

Explanation:

Distribute

`(4x^3+8x)(x^2-3)`

`4(x^(2) -3)x^(3) +8x(x^(2) -2)`

Distribute

`4(x^(2) -3)x^(3) +8x(x^(2) -2)`

`4x^(5) -12x^(3) +8x(x^(2) -3)`

Distribute

`4x^(5) -12x^(3) +8x(x^(2) -3)`

`4x^(5) -12x^(3) +8x^(3) -24x`

Combine like terms

4x^5 - 4x^{3} - 24x

Answer 2

4x^5 - 4x³ - 24x

Explanation: