Question

Which polynomial represents the product of 2x - 4 and x2 + 6x - 2 ?

ОА
2x3 + 8
thing
B
2x3 + 8x2 - 4x + 8
с
2x3 + 8x2 - 28x + 8
D
2x3 - 24x - 2

Answer 1

C.
`2x^3 + 8x^2 - 28x + 8`

Explanation:

Product of
`2x - 4` and
`x^2 + 6x - 2`

`(2x - 4)(x^2 + 6x - 2)`

`2x(x^2 + 6x - 2) -4(x^2 + 6x - 2)` (distributive property)

`2x^3 + 12x^2 - 4x -4x^2 - 24x + 8`

Collect like terms

`2x^3 + 12x^2 - 4x^2 - 4x - 24x + 8`

`2x^3 + 8x^2 - 28x + 8`