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

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

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factor 12x^2-17x+6

factor

12 x^{2} - 17 x + 6

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

Solution steps

12 x^{2} - 17 x + 6

Break the expression into groups

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

Factor out

4 x

from

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

Factor out

- 3

from

- 9 x + 6 : - 3 (3 x - 2)

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

Factor out common term

3 x - 2

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

3 x + 6 \geq - 12

(\frac{4}{3}) - 1

\frac{9 - x}{5} = 3

\frac{x + 6}{x + 3} \leq 4

(4 x + 1)^{2} = 2