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30 April, 15:21

Identify all factors of the expression 4x^2+17x-15

a. 2

b. 3

c. x - 5

d. x + 5

e. 4x - 3

f. 4x + 3

+1
Answers (1)
  1. 30 April, 15:43
    0
    d and e

    Step-by-step explanation:

    To factor 4x² + 17x - 15

    Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x - term, that is

    product = 4 * - 15 = - 60 and sum = + 17

    The factors are + 20 and - 3

    Use these factors to split the middle term

    4x² + 20x - 3x - 15 (factor by grouping the first/second and third/fourth terms)

    = 4x (x + 5) - 3 (x + 5) (take out the common factor (x + 5))

    = (x + 5) (4x - 3) → d/e
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