What is factor 8x^2-2x-1 ?

The solution to factor 8x^2-2x-1 is (4x+1)(2x-1)

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factor 8x^2-2x-1

factor

8 x^{2} - 2 x - 1

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

Solution steps

8 x^{2} - 2 x - 1

Break the expression into groups

= (8 x^{2} + 2 x) + (- 4 x - 1)

Factor out

2 x

from

8 x^{2} + 2 x : 2 x (4 x + 1)

Factor out

- 1

from

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

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

Factor out common term

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

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

2 x^{2} + x = 1

- 9 - 1

(3 i) (- 2 i) (4 i)

\frac{3}{8} + \frac{4}{8}

3 x + 1 \leq 5