What is factor n^2-9n-22 ?

The solution to factor n^2-9n-22 is (n+2)(n-11)

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factor n^2-9n-22

factor

n^{2} - 9 n - 22

(n + 2) (n - 11)

Solution steps

n^{2} - 9 n - 22

Break the expression into groups

= (n^{2} + 2 n) + (- 11 n - 22)

Factor out

n

from

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

Factor out

- 11

from

- 11 n - 22 : - 11 (n + 2)

= n (n + 2) - 11 (n + 2)

Factor out common term

n + 2

= (n + 2) (n - 11)

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