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?

Combine like terms in the product: x³ remains unchanged, and the x² terms add to 3x² + 2x² = 5x². The x terms add to −x + 6x = 5x, while the constant is −2. The simplified expression is x³ + 5x² + 5x − 2, choice A.

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