What is factor x^2-2x-35 ?

The solution to factor x^2-2x-35 is (x+5)(x-7)

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factor x^2-2x-35

factor

x^{2} - 2 x - 35

(x + 5) (x - 7)

Solution steps

x^{2} - 2 x - 35

Break the expression into groups

= (x^{2} + 5 x) + (- 7 x - 35)

Factor out

x

from

x^{2} + 5 x : x (x + 5)

Factor out

- 7

from

- 7 x - 35 : - 7 (x + 5)

= x (x + 5) - 7 (x + 5)

Factor out common term

x + 5

= (x + 5) (x - 7)

- 15 = x - 17

6 - 6 x = 0

\frac{6 - 2 x}{3} = \frac{5 x - 1}{4}

x^{2} + 6 x + 4 = 4

- 2 x^{2} + 8 x + 10 = 0