What is factor 6x^2-11x+3 ?

The solution to factor 6x^2-11x+3 is (3x-1)(2x-3)

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factor 6x^2-11x+3

factor

6 x^{2} - 11 x + 3

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

Solution steps

6 x^{2} - 11 x + 3

Break the expression into groups

= (6 x^{2} - 2 x) + (- 9 x + 3)

Factor out

2 x

from

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

Factor out

- 3

from

- 9 x + 3 : - 3 (3 x - 1)

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

Factor out common term

3 x - 1

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

1 2^{- \frac{1}{3}}

x^{2} - 9 x + 19 = x - 5

x^{2} - 32 x + 256

3 - 23 x = - 14 (x - 21) - 15 (x + 33)