Question

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

Answer 1

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)

Answer 2

`(m+5)(m+7)`

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)`