Question

which expression is equivalent to $n^2 + 26n + 88$ for all values of $n$?$(n + 8)(n + 11)$$(n + 4)(n + 22)$$(n + 4)(n + 24)$$(n + 8)(n + 18)$

Explanation:

Step1: Recall factoring rules

We need two numbers that multiply to $88$ and add to $26$.

Step2: Test factor pairs of 88

• $4 \times 22 = 88$, and $4 + 22 = 26$

Step3: Verify by expanding

$$(n+4)(n+22) = n^2 + 22n + 4n + 88 = n^2 + 26n + 88$$

Answer:

B. $(n + 4)(n + 22)$