What is factor x^2+22x+120 ?

The solution to factor x^2+22x+120 is (x+10)(x+12)

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factor x^2+22x+120

factor

x^{2} + 22 x + 120

(x + 10) (x + 12)

Solution steps

x^{2} + 22 x + 120

Break the expression into groups

= (x^{2} + 10 x) + (12 x + 120)

Factor out

x

from

x^{2} + 10 x : x (x + 10)

Factor out

12

from

12 x + 120 : 12 (x + 10)

= x (x + 10) + 12 (x + 10)

Factor out common term

x + 10

= (x + 10) (x + 12)

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