Question

question
factor completely.

3x² + 10x + 3

answer
attempt 1 out of 2

submit answer

Explanation:

Step1: Split middle term

Find two numbers that multiply to $3\times3=9$ and add to 10: 9 and 1. Rewrite the middle term:
$3x^2 + 9x + x + 3$

Step2: Group and factor pairs

Group first two and last two terms, factor GCF from each group:
$3x(x + 3) + 1(x + 3)$

Step3: Factor out common binomial

Extract the shared binomial factor:
$(x + 3)(3x + 1)$

Answer:

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