Question

The expression below is the factorization of what trinomial? -1(x+5)(x+6)A. x^2 + 11x + 30 B. x^2 - 11x - 30C. -x^2 - 11x - 30D. -x^2 + 11x + 30

Answer 1

Step-by-step explanation:

To know the trinomial, we need to apply the distributive property in the expression

-1(x + 5)(x + 6)

So, we get:

-1(x(x) + x(6) + 5(x) + 5(6))

-1(x² + 6x + 5x + 30)

-1(x² + 11x + 30)

Then, we need to multiply each term by -1, so

-1(x²) - 1(11x) - 1(30)

-x² - 11x - 30

Therefore, the answer is

C. -x² - 11x - 30