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

Answer:

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

Step-by-step 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

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

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