What is factor 2x^2-11x-6 ?

The solution to factor 2x^2-11x-6 is (2x+1)(x-6)

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factor 2x^2-11x-6

factor

2 x^{2} - 11 x - 6

(2 x + 1) (x - 6)

Solution steps

2 x^{2} - 11 x - 6

Break the expression into groups

= (2 x^{2} + x) + (- 12 x - 6)

Factor out

x

from

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

Factor out

- 6

from

- 12 x - 6 : - 6 (2 x + 1)

= x (2 x + 1) - 6 (2 x + 1)

Factor out common term

2 x + 1

= (2 x + 1) (x - 6)

5 - 6 x = 7 x + 5

3 (4 x - 2) - 5 x = 6 - 7 (- x - 2)

x^{2} - 16 x - 36

x (x + 10) \geq 24

16 x - 8 + 2 x = 100