Question

factor completely. $4x^2 + 4x - 15$

Explanation:

Step1: Find product of a and c

$4 \times (-15) = -60$

Step2: Find two factors of -60

Factors: -6 and 10 (since $-6 + 10 = 4$)

Step3: Split middle term

$4x^2 - 6x + 10x - 15$

Step4: Factor by grouping

$2x(2x - 3) + 5(2x - 3)$

Step5: Factor out common binomial

$(2x - 3)(2x + 5)$

Answer:

$(2x - 3)(2x + 5)$