Question

factor.
$w^2 + 10w + 24$

Explanation:

Step1: Find pair of factors for 24

We need two numbers that multiply to 24 and add to 10. These numbers are 4 and 6, since $4 \times 6 = 24$ and $4 + 6 = 10$.

Step2: Split middle term and factor

Rewrite the trinomial as two binomials using the found factors:
$w^2 + 10w + 24 = (w + 4)(w + 6)$

Answer:

$(w + 4)(w + 6)$