What is factor 2x^2-x-1 ?

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

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factor 2x^2-x-1

factor

2 x^{2} - x - 1

(2 x + 1) (x - 1)

Solution steps

2 x^{2} - x - 1

Break the expression into groups

= (2 x^{2} + x) + (- 2 x - 1)

Factor out

x

from

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

Factor out

- 1

from

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

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

Factor out common term

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

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

x - 1 \leq 2 and x + 2 \geq 4

19 \cdot 3

x^{2} - 16 x + 48 = 0

x^{2} - 16 x + 64 \geq 0

2 x + 1 = 13