What is factor x^2-9x+14 ?

The solution to factor x^2-9x+14 is (x-2)(x-7)

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factor x^2-9x+14

factor

x^{2} - 9 x + 14

(x - 2) (x - 7)

Solution steps

x^{2} - 9 x + 14

Break the expression into groups

= (x^{2} - 2 x) + (- 7 x + 14)

Factor out

x

from

x^{2} - 2 x : x (x - 2)

Factor out

- 7

from

- 7 x + 14 : - 7 (x - 2)

= x (x - 2) - 7 (x - 2)

Factor out common term

x - 2

= (x - 2) (x - 7)

64 + 64

2 x^{2} = 3 + x

\frac{x}{3} - 15 = - 7

- (x - 3)^{2} + 25

4 (x + 5) = 4 x + 5 x