What is factor 6x^2-17x+7 ?

The solution to factor 6x^2-17x+7 is (2x-1)(3x-7)

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factor 6x^2-17x+7

factor

6 x^{2} - 17 x + 7

(2 x - 1) (3 x - 7)

Solution steps

6 x^{2} - 17 x + 7

Break the expression into groups

= (6 x^{2} - 3 x) + (- 14 x + 7)

Factor out

3 x

from

6 x^{2} - 3 x : 3 x (2 x - 1)

Factor out

- 7

from

- 14 x + 7 : - 7 (2 x - 1)

= 3 x (2 x - 1) - 7 (2 x - 1)

Factor out common term

2 x - 1

= (2 x - 1) (3 x - 7)

6^{2} - x - 1

\frac{x + 1}{2} < \frac{x + 2}{1 - x}

0 = x^{2} + 20 x - 4

7 + x \leq 2 (x + 3) + 2

\frac{4 x - 3}{2} - \frac{3 x - 3}{3} < 3