What is factor 7x^2-x-8 ?

The solution to factor 7x^2-x-8 is (x+1)(7x-8)

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factor 7x^2-x-8

factor

7 x^{2} - x - 8

(x + 1) (7 x - 8)

Solution steps

7 x^{2} - x - 8

Break the expression into groups

= (7 x^{2} + 7 x) + (- 8 x - 8)

Factor out

7 x

from

7 x^{2} + 7 x : 7 x (x + 1)

Factor out

- 8

from

- 8 x - 8 : - 8 (x + 1)

= 7 x (x + 1) - 8 (x + 1)

Factor out common term

x + 1

= (x + 1) (7 x - 8)

(a^{\frac{1}{2}} - b^{- \frac{1}{2}})^{2}

a^{3} b - a b^{3}

r^{2} - 2 r - 8

- 3 (x + 12) = x^{6} - (1 - x)

x^{2} + 5 x - 84