What is factor x^2+21x+110 ?

The solution to factor x^2+21x+110 is (x+10)(x+11)

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factor x^2+21x+110

factor

x^{2} + 21 x + 110

(x + 10) (x + 11)

Solution steps

x^{2} + 21 x + 110

Break the expression into groups

= (x^{2} + 10 x) + (11 x + 110)

Factor out

x

from

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

Factor out

11

from

11 x + 110 : 11 (x + 10)

= x (x + 10) + 11 (x + 10)

Factor out common term

x + 10

= (x + 10) (x + 11)

x^{2} - 49 < 0

x^{2} = - 1225

10 - \frac{x}{3} = 7

0 = \frac{22019}{550000000} x + \frac{4307803}{550000000}