What is factor 2x^2-x-28 ?

The solution to factor 2x^2-x-28 is (2x+7)(x-4)

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factor 2x^2-x-28

factor

2 x^{2} - x - 28

(2 x + 7) (x - 4)

Solution steps

2 x^{2} - x - 28

Break the expression into groups

= (2 x^{2} + 7 x) + (- 8 x - 28)

Factor out

x

from

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

Factor out

- 4

from

- 8 x - 28 : - 4 (2 x + 7)

= x (2 x + 7) - 4 (2 x + 7)

Factor out common term

2 x + 7

= (2 x + 7) (x - 4)

14 g h - 18 h

(1 \frac{1}{2})^{2}

4 a^{2} b^{4}

x^{2} - 8 x - 24 = 0

(x - 6)^{2} = 49