What is factor n^2+10n+21 ?

The solution to factor n^2+10n+21 is (n+3)(n+7)

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factor n^2+10n+21

factor

n^{2} + 10 n + 21

(n + 3) (n + 7)

Solution steps

n^{2} + 10 n + 21

Break the expression into groups

= (n^{2} + 3 n) + (7 n + 21)

Factor out

n

from

n^{2} + 3 n : n (n + 3)

Factor out

7

from

7 n + 21 : 7 (n + 3)

= n (n + 3) + 7 (n + 3)

Factor out common term

n + 3

= (n + 3) (n + 7)

4 x^{3} + 12 x^{2} + 11 x + 3

1 6^{- \frac{7}{4}}

∣ x + 7 ∣ < 4

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

(a + 7) (a - 7) > 0