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faust18 [17]
3 years ago
12

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

Mathematics
2 answers:
Maru [420]3 years ago
4 0

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)

lina2011 [118]3 years ago
3 0

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)

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