Question

question
factor.
$x^2 + 13x + 30$

Explanation:

Step1: Find two terms for splitting

Identify two numbers that multiply to $30$ and add to $13$: $10$ and $3$.
Rewrite the middle term: $x^2 + 10x + 3x + 30$

Step2: Group and factor pairs

Group the first two and last two terms, then factor out GCFs:
$(x^2 + 10x) + (3x + 30) = x(x + 10) + 3(x + 10)$

Step3: Factor out common binomial

Extract the shared binomial factor $(x + 10)$:
$(x + 10)(x + 3)$

Answer:

$(x + 10)(x + 3)$