What is factor 3x^2-13x+12 ?

The solution to factor 3x^2-13x+12 is (3x-4)(x-3)

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factor 3x^2-13x+12

factor

3 x^{2} - 13 x + 12

(3 x - 4) (x - 3)

Solution steps

3 x^{2} - 13 x + 12

Break the expression into groups

= (3 x^{2} - 4 x) + (- 9 x + 12)

Factor out

x

from

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

Factor out

- 3

from

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

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

Factor out common term

3 x - 4

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

4 x^{2} + 5 x + 11 = 0

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

11 + 3 (- 8 + 5 x) < 16 x - 5

- 2 (1 - 4 x) = 3 x + 8

28 - 7 x^{2}