Question

the product of a binomial and a trinomial is $x^3 + 3x^2 - x + 2x^2 + 6x - 2$. which expression is equivalent to this product after it has been fully simplified?
$x^3 + 5x^2 + 5x - 2$
$x^3 + 2x^2 + 8x - 2$
$x^3 + 10x^2 - 2$
$x^3 + 11x^2 - 2$

Explanation:

Step1: Group like $x^2$ terms

$x^3 + (3x^2 + 2x^2) - x + 6x - 2$

Step2: Group like $x$ terms

$x^3 + 5x^2 + (-x + 6x) - 2$

Step3: Combine like terms

$x^3 + 5x^2 + 5x - 2$

Answer:

$x^3 + 5x^2 + 5x - 2$