Question

question
factor completely.
3x²+7x+4
answer attempt 1 out of 2
1
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Explanation:

Step1: Split middle term

Find two numbers that multiply to $3\times4=12$ and add to $7$. These numbers are $3$ and $4$. Rewrite the middle term:
$3x^2 + 3x + 4x + 4$

Step2: Group and factor pairs

Group the first two and last two terms, then factor out GCFs:
$(3x^2 + 3x) + (4x + 4) = 3x(x+1) + 4(x+1)$

Step3: Factor out common binomial

Factor out $(x+1)$ from both terms:
$(x+1)(3x+4)$

Answer:

$(x+1)(3x+4)$