Question

question
factor the trinomial:
$5x^2 + 31x + 6$

Explanation:

Step1: Find product of 5 and 6

$5 \times 6 = 30$

Step2: Find factors of 30 summing to 31

$30 + 1 = 31$

Step3: Split middle term using factors

$5x^2 + 30x + x + 6$

Step4: Group and factor pairs

$5x(x + 6) + 1(x + 6)$

Step5: Factor out common binomial

$(5x + 1)(x + 6)$

Answer:

$(5x + 1)(x + 6)$