Question

question
factor the trinomial:
$5x^2 + 13x + 6$

Explanation:

Step1: Find product of leading & constant term

$5 \times 6 = 30$

Step2: Find factors of 30 summing to 13

$10 + 3 = 13$

Step3: Split middle term using factors

$5x^2 + 10x + 3x + 6$

Step4: Group and factor pairs

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

Step5: Factor out common binomial

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

Answer:

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