Question

Select the correct answer from each drop-down menu. Factor the trinomial. The factors of m2 + 12m + 35 are ( ) and ( ).

Answer 1

Answer:

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

Step-by-step explanation:

Factor the trinomial. The factors of $m^2 + 12m + 35$

In the given trinomial , the product is 35 and sum is 12

LEts find out two factors whose product is 35 and sum is 12

7 times 5 is 35

7 plus 5 is 12

Break the middle term using factors 7 and 5

$m^2 + 12m + 35$

$m^2 + 7m+5m + 35$

Group first two terms and last two terms

$(m^2 + 7m)+(5m + 35)$

Take out GCF from each group

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

FActor out m+7

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

Answer 2

m^2 + 12m + 35

We can factor using the sum-product, when the sum of 2 numbers is 12 and the product of those 2 numbers is 35.

7+5 = 12

7 x 5 = 35

So we have the numbers 7 and 5.

m^2 + 12m + 35 = (m+7)(m+5)