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?

x3 + 5x2 + 5x – 2
x3 + 2x2 + 8x – 2
x3 + 11x2 – 2
x3 + 10x2 – 2

Answer 1

Add like terms: x^3 + (3x^2 + 2x^2) + (−x + 6x) − 2 = x^3 + 5x^2 + 5x − 2.

So the first option is correct: x^3 + 5x^2 + 5x − 2.