Question

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

Answer 1

C. -8x² - 6x + 35

Explanation:

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

2x · 7 + 2x · -4x + 5 · 7 + 5 · -4x

14x - 8x² + 35 - 20x

-8x² + 14x - 20x + 35

-8x² - 6x + 35

Answer 2

C

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