What is factor 6x^2-17x+12 ?

The solution to factor 6x^2-17x+12 is (3x-4)(2x-3)

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factor 6x^2-17x+12

factor

6 x^{2} - 17 x + 12

(3 x - 4) (2 x - 3)

Solution steps

6 x^{2} - 17 x + 12

Break the expression into groups

= (6 x^{2} - 8 x) + (- 9 x + 12)

Factor out

2 x

from

6 x^{2} - 8 x : 2 x (3 x - 4)

Factor out

- 3

from

- 9 x + 12 : - 3 (3 x - 4)

= 2 x (3 x - 4) - 3 (3 x - 4)

Factor out common term

3 x - 4

= (3 x - 4) (2 x - 3)

x^{3} - 4 x + 3

\frac{1}{2} + 4 x = - x + 2

n^{2} - 10 n + 9 = 0

3 x^{2} + 8 x + 7 = 0

6 f = - 36