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26 March, 10:37

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

+4
Answers (2)
  1. 26 March, 10:50
    0
    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
  2. 26 March, 10:56
    0
    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
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