What is factor x^2-3x-108 ?

The solution to factor x^2-3x-108 is (x+9)(x-12)

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factor x^2-3x-108

factor

x^{2} - 3 x - 108

(x + 9) (x - 12)

Solution steps

x^{2} - 3 x - 108

Break the expression into groups

= (x^{2} + 9 x) + (- 12 x - 108)

Factor out

x

from

x^{2} + 9 x : x (x + 9)

Factor out

- 12

from

- 12 x - 108 : - 12 (x + 9)

= x (x + 9) - 12 (x + 9)

Factor out common term

x + 9

= (x + 9) (x - 12)

\frac{x - 3}{x + 2} \geq 0

\frac{( x - 2 )}{3} \leq 3

- 1 = b - 3

x^{2} + 8 x - 20 = 28

\frac{1}{4} + 2 x = - (- \frac{1}{2} - x)