Question

question
factor the trinomial:
$3x^2 + 14x + 8$

Explanation:

Step1: Multiply leading & constant terms

$3 \times 8 = 24$

Step2: Find pair summing to 14

Factors of 24: $12$ and $2$, since $12+2=14$

Step3: Split middle term

$3x^2 + 12x + 2x + 8$

Step4: Factor by grouping

$3x(x+4) + 2(x+4)$

Step5: Factor out common binomial

$(3x+2)(x+4)$

Answer:

$(3x+2)(x+4)$