What is factor m^2+7m+10 ?

The solution to factor m^2+7m+10 is (m+2)(m+5)

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factor m^2+7m+10

factor

m^{2} + 7 m + 10

(m + 2) (m + 5)

Solution steps

m^{2} + 7 m + 10

Break the expression into groups

= (m^{2} + 2 m) + (5 m + 10)

Factor out

m

from

m^{2} + 2 m : m (m + 2)

Factor out

5

from

5 m + 10 : 5 (m + 2)

= m (m + 2) + 5 (m + 2)

Factor out common term

m + 2

= (m + 2) (m + 5)

3 x + 60 = 84 - 5 x

- 3 x^{2} + 10 x + 8

\frac{x - 2}{- 3} < 10

3 x^{2} - 4 x + 2 < 0

4 - \frac{1}{6}