Select the quadratic expression that represents the product below. (2x+5) (7-4x)

A.

-8x2 + 6x - 35

B.

-8x2 + 34x - 35

C.

-8x2 - 6x + 35

D.

-8x2 - 34x + 35

C

Step-by-step explanation:

Given

(2x + 5) (7 - 4x)

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

= 2x (7 - 4x) + 5 (7 - 4x) ← distribute both parenthesis

= 14x - 8x² + 35 - 20x ← collect like terms

= - 8x² - 6x + 35 → C

C. - 8x² - 6x + 35

Step-by-step explanation:

(2x+5) (7-4x)

2x · 7 + 2x · - 4x + 5 · 7 + 5 · - 4x

14x - 8x² + 35 - 20x

-8x² + 14x - 20x + 35

-8x² - 6x + 35