Question

The expression below is the factorization of what trinomial?

-1(x+ 7)(x-4)
A. -x^2 + 3x+ 28
B. -x^2 + 3x-28
C. -x^2 - 3х - 28
D. -x^2 - 3x+ 28

Answer 1

D

Explanation:

The expression below is the factorization of what trinomial?

-1(x+ 7)(x-4)

A. -x^2 + 3x+ 28

B. -x^2 + 3x-28

C. -x^2 - 3х - 28

D. -x^2 - 3x+ 28

Answer 2

D

Explanation:

Given

- 1(x + 7)(x - 4)

each term in the second factor is multiplied by each term in the first factor, that is

leaving the multiplier of - 1 for the time being

x(x- 4) + 7(x - 4) ← distribute both parenthesis

= x² - 4x + 7x - 28 ← collect like terms

= x² + 3x - 28

Hence

- 1(x² + 3x - 28) = - x² - 3x + 28 → D