Question

question
factor the trinomial:
$3x^2 + 16x + 21$
answer attempt 1 out of 2
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Explanation:

Step1: Multiply leading and constant terms

$3 \times 21 = 63$

Step2: Find factors summing to 16

Factors of 63: $7$ and $9$, since $7+9=16$

Step3: Split middle term

$3x^2 + 9x + 7x + 21$

Step4: Factor by grouping

$3x(x+3) + 7(x+3)$

Step5: Factor out common binomial

$(3x+7)(x+3)$

Answer:

$(3x+7)(x+3)$