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)

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

Factor out common term

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

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

10 - \frac{b}{2} = 3

x^{2} - 10 x = - 25

\frac{3 - 3}{3 + 3}

x - 3 x + 2 \leq 0

24 3^{- \frac{2}{5}}