What is factor x^2-6x-27 ?

The solution to factor x^2-6x-27 is (x+3)(x-9)

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factor x^2-6x-27

factor

x^{2} - 6 x - 27

(x + 3) (x - 9)

Solution steps

x^{2} - 6 x - 27

Break the expression into groups

= (x^{2} + 3 x) + (- 9 x - 27)

Factor out

x

from

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

Factor out

- 9

from

- 9 x - 27 : - 9 (x + 3)

= x (x + 3) - 9 (x + 3)

Factor out common term

x + 3

= (x + 3) (x - 9)

\frac{b}{2} < 7

12 x = - 36

x^{2} - 14 x + 48 = 0

2 x + 10 \leq 26