Question

factor the trinomial.
v² + 6v + 72

select the correct choice below and fill in any answer boxes within your choice
a. the answer is

b. the trinomial is not factorable.

Explanation:

Step1: Recall factoring trinomial

To factor \(v^2 + bv + c\), find two numbers that multiply to \(c\) and add to \(b\). Here, \(b = 6\), \(c = 72\).

Step2: Check factor pairs of 72

Factor pairs of 72: (1,72) sum 73; (2,36) sum 38; (3,24) sum 27; (4,18) sum 22; (6,12) sum 18; (8,9) sum 17. None sum to 6.

Answer:

B. The trinomial is not factorable.