Question

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

Answer 1

Answer:

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