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?

Question

Shadow · Answer

Can you post the expressions?

cburr247 · Answer

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?

x3 + 5x2  + 5x – 2

x3 + 2x2 + 8x – 2

x3 + 11x2 – 2

x3 + 10x2 – 2

Shadow · Answer

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

Is that what you have in the top?

cburr247 · Answer

thanks

Shadow · Answer

$$x^3 $$

Has no like terms, it stays

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

$$6x - x = 5x$$

$$-2 $$

Has no like terms

So we get

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