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

x3+5x2+5×-2 is the correct answer.

Answer 2

(A)
`x^3+5x^2+5x-2`

Explanation:

The Product of a binomial and a trinomial is:

`x^3+3x^2-x+2x^2+6x-2`

On simplifying the above given equation by solving the like terms together, we get

`x^3+3x^2+2x^2-x+6x-2`

`x^3+5x^2+5x-2`

which is the required simplified form of the given expression.

Therefore, option (A) is correct.