What is factor 6x^2-x-2 ?

The solution to factor 6x^2-x-2 is (2x+1)(3x-2)

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factor 6x^2-x-2

factor

6 x^{2} - x - 2

(2 x + 1) (3 x - 2)

Solution steps

6 x^{2} - x - 2

Break the expression into groups

= (6 x^{2} + 3 x) + (- 4 x - 2)

Factor out

3 x

from

6 x^{2} + 3 x : 3 x (2 x + 1)

Factor out

- 2

from

- 4 x - 2 : - 2 (2 x + 1)

= 3 x (2 x + 1) - 2 (2 x + 1)

Factor out common term

2 x + 1

= (2 x + 1) (3 x - 2)

4 x + 15 \geq x + 6

3 x^{2} - 7 x - 4 \geq 0

∣ 2 x + 1 ∣ \geq - 9

- 3 u + 7 = - 9 u + 49

(85)^{2}