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

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