Question

select the correct answer from each drop - down menu. factor the trinomial. the factors of $m^{2}+12m + 35$ are (▼) and (▼). the drop - down options for the first factor include $m + 4$, $m + 7$. there is also a reset button.

Explanation:

Step1: Find pair summing to 12, product 35

We need two numbers that add up to 12 (the coefficient of $m$) and multiply to 35 (the constant term). These numbers are 5 and 7, since $5+7=12$ and $5\times7=35$.

Step2: Write factored form

Using the two numbers found, the trinomial factors into two binomials of the form $(m + a)(m + b)$, where $a$ and $b$ are the numbers we identified.

Answer:

$(m + 7)$ and $(m + 5)$