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

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3x+2×2+8x-2

Answer 2

x³ + 5x² + 5x - 2  is equivalent to this product after it has been fully simplified

Step-by-step explanation:

The product of a binomial and a trinomial is

x³ + 3x² − x + 2x² + 6x − 2

= x³ + 3x² + 2x² + 6x  - x  - 2

=  x³ + 5x² + 5x - 2

x³ + 5x² + 5x - 2  is equivalent to this product after it has been fully simplified

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