Question

factor the trinomial completely.

(14 + 15m + m^2)

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. (14 + 15m + m^2 = \\) (type your answer in factored form.)
b. the polynomial is prime.

Explanation:

⚡ Using what you learned: factoring trinomials

Step 1: Rewrite in standard form

$$ m^2 + 15m + 14 $$

Step 2: Find factors

Find two numbers that multiply to \(14\) and add to \(15\):

$$ 14 \times 1 = 14 $$

$$ 14 + 1 = 15 $$

Step 3: Write in factored form

$$ (m + 14)(m + 1) $$

Answer:

A. \(14 + 15m + m^2 =\) \((m + 14)(m + 1)\)