What is factor 3x^2-13x+4 ?

The solution to factor 3x^2-13x+4 is (3x-1)(x-4)

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factor 3x^2-13x+4

factor

3 x^{2} - 13 x + 4

(3 x - 1) (x - 4)

Solution steps

3 x^{2} - 13 x + 4

Break the expression into groups

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

Factor out

x

from

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

Factor out

- 4

from

- 12 x + 4 : - 4 (3 x - 1)

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

Factor out common term

3 x - 1

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

x + 11 = - 2 x - 8

3 x^{2} - 2 x - 2 = 0

- x^{2} - 2 \geq 0

(\frac{4}{3} - \frac{7}{9}) - (\frac{- 9}{15} - \frac{- 12}{5})

\frac{x ^{- 6}}{x ^{4}}