Question

factor completely.
$6x^2 + 13x - 15$

Explanation:

Step1: Find product of a and c

$6 \times (-15) = -90$

Step2: Find two factors of -90

Factors: 18 and -5 (since $18 + (-5) = 13$)

Step3: Split middle term

$6x^2 + 18x - 5x - 15$

Step4: Factor by grouping

$6x(x + 3) - 5(x + 3)$

Step5: Factor out common binomial

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

Answer:

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