Question

factor completely. $6x^2 + 13x - 5$

Explanation:

Step1: Find product of a and c

$6 \times (-5) = -30$

Step2: Find two numbers for sum 13

Numbers: 15 and -2 (since $15 \times (-2) = -30$ and $15 + (-2) = 13$)

Step3: Split middle term

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

Step4: Factor by grouping

$3x(2x + 5) - 1(2x + 5)$

Step5: Factor out common binomial

$(2x + 5)(3x - 1)$

Answer:

$(2x + 5)(3x - 1)$