What is factor x^2-8x-1008 ?

The solution to factor x^2-8x-1008 is (x+28)(x-36)

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factor x^2-8x-1008

factor

x^{2} - 8 x - 1008

(x + 28) (x - 36)

Solution steps

x^{2} - 8 x - 1008

Break the expression into groups

= (x^{2} + 28 x) + (- 36 x - 1008)

Factor out

x

from

x^{2} + 28 x : x (x + 28)

Factor out

- 36

from

- 36 x - 1008 : - 36 (x + 28)

= x (x + 28) - 36 (x + 28)

Factor out common term

x + 28

= (x + 28) (x - 36)

8 \times (- 2)

(2 x + 1) (- 3 x^{2} - x + 9)

- x^{4} + x^{2}

- 2 \times \frac{1}{3}

- 97 + 7 - 863