What is factor n^2+9n+14 ?

The solution to factor n^2+9n+14 is (n+2)(n+7)

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factor n^2+9n+14

factor

n^{2} + 9 n + 14

(n + 2) (n + 7)

Solution steps

n^{2} + 9 n + 14

Break the expression into groups

= (n^{2} + 2 n) + (7 n + 14)

Factor out

n

from

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

Factor out

7

from

7 n + 14 : 7 (n + 2)

= n (n + 2) + 7 (n + 2)

Factor out common term

n + 2

= (n + 2) (n + 7)

x^{2} + 8 x + 10 = 0

\frac{m}{5} \geq - 5

4 x^{2} - 32 x

5 x^{2} - 7 x + 6 = 0

(- 2)^{6} < 2^{8}