Question

The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product after it has been fully simplified?

Answer 1

Answer:

$x^3+3x^2+5x+4$

Step-by-step explanation:

We are given that  product of binomial and trinomial is

$x^3+3x^2-x+2\times 2+6x-2$

We have to find an expression equivalent to given product after it has been simplified.

$x^3+3x^2-x+2\times 2+6x-2$

Rearrange the terms in the given expression

$x^3+3x^2-x+6x+2\times 2$

Combine like terms

$x^3+3x^2+5x+2\times 2$

$x^3+3x^2+5x+4$

Answer 2

Answer:

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

Step-by-step explanation:

The product of a binomial and a trinomial is

$x^3+3x^2-x+2 \times 2 +6x-2$

we have to simplify that

$x^3+3x^2-x+4+6x-2$

bringing the like terms together we get

$x^3+3x^2-x+6x+4-2$

$-x+6x = 5x$

$-2+4 = 2$

hence our expression becomes

$x^3+3x^2-x+6x+4-2=x^3+3x^2+5x+2$