What is factor 6r^2-r-1 ?

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

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factor 6r^2-r-1

factor

6 r^{2} - r - 1

(3 r + 1) (2 r - 1)

Solution steps

6 r^{2} - r - 1

Break the expression into groups

= (6 r^{2} + 2 r) + (- 3 r - 1)

Factor out

2 r

from

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

Factor out

- 1

from

- 3 r - 1 : - (3 r + 1)

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

Factor out common term

(3 r + 1) : (3 r + 1) (2 r - 1)

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

17 k - 8 = 37 k + 2

\frac{6 x - 4}{3 + x} \geq \frac{1}{2}

x - 3 (x - 2) = 6 x - 2

x < \frac{1}{3} and x > - \frac{3}{4}

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