What is factor 12x^2-31x+9 ?

The solution to factor 12x^2-31x+9 is (3x-1)(4x-9)

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factor 12x^2-31x+9

factor

12 x^{2} - 31 x + 9

(3 x - 1) (4 x - 9)

Solution steps

12 x^{2} - 31 x + 9

Break the expression into groups

= (12 x^{2} - 4 x) + (- 27 x + 9)

Factor out

4 x

from

12 x^{2} - 4 x : 4 x (3 x - 1)

Factor out

- 9

from

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

= 4 x (3 x - 1) - 9 (3 x - 1)

Factor out common term

3 x - 1

= (3 x - 1) (4 x - 9)

2 x + 15 = 2 x - 15

294 r^{2} - 150

n^{2} - 5 n - 24

\frac{3}{5} - 1

2 x + 4 = 5 x - 1