select the correct answer from each drop - down menu. factor the trinomial. the factors of $m^{2}+12m + 35$…
select the correct answer from each drop - down menu. factor the trinomial. the factors of $m^{2}+12m + 35$ are ( ) and ( ).
Answer
Explanation:
Step1: Find two numbers
We need two numbers that multiply to 35 and add up to 12. The numbers are 5 and 7 since (5\times7 = 35) and (5 + 7=12).
Step2: Factor the trinomial
We can rewrite (m^{2}+12m + 35) as (m^{2}+5m+7m + 35). Then group the terms: ((m^{2}+5m)+(7m + 35)=m(m + 5)+7(m + 5)=(m + 5)(m+7))
Answer:
((m + 5)) and ((m + 7))