Question

factor.
$n^2 + 24n + 23$

Explanation:

Step1: Find pair summing to 24, product 23

The pair is 1 and 23, since $1+23=24$ and $1\times23=23$.

Step2: Write factored quadratic form

Express as $(n+a)(n+b)$ where $a=1, b=23$.

Answer:

$(n+1)(n+23)$