Question

$10x^2 + 13x + 3$

Explanation:

Step1: Split the middle term

Find two numbers that multiply to $10*3=30$ and add to 13: 10 and 3. Rewrite the expression:
$10x^2 + 10x + 3x + 3$

Step2: Factor by grouping

Group the first two and last two terms, then factor out the GCF from each group:
$10x(x + 1) + 3(x + 1)$

Step3: Factor out common binomial

Factor out the shared $(x+1)$ term:
$(10x + 3)(x + 1)$

Answer:

$(10x + 3)(x + 1)$