What is factor 3x^2-7x+4 ?

The solution to factor 3x^2-7x+4 is (x-1)(3x-4)

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factor 3x^2-7x+4

factor

3 x^{2} - 7 x + 4

(x - 1) (3 x - 4)

Solution steps

3 x^{2} - 7 x + 4

Break the expression into groups

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

Factor out

3 x

from

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

Factor out

- 4

from

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

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

Factor out common term

x - 1

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

4 x^{2} + 3 x - 6 = 0

(2 x + 3)^{2} + 25 = 0

(\frac{1}{4})^{1}

- 5 x + 12 = - 12 x - 12

\frac{( \frac{a}{b} )}{c} + \frac{d}{( \frac{e}{f} )}