Question

question
factor completely.
3x² + 8x + 5
answer
attempt 1 out of 2

Explanation:

Step1: Split middle term

Find two numbers that multiply to $3\times5=15$ and add to $8$: $3$ and $5$. Rewrite $8x$ as $3x+5x$.
$3x^2 + 3x + 5x + 5$

Step2: Group and factor pairs

Group first two and last two terms, factor GCF from each group.
$(3x^2 + 3x) + (5x + 5) = 3x(x+1) + 5(x+1)$

Step3: Factor common binomial

Factor out the shared binomial $(x+1)$.
$(x+1)(3x+5)$

Answer:

$(x+1)(3x+5)$