What is factor 10x^2-13x+4 ?

The solution to factor 10x^2-13x+4 is (2x-1)(5x-4)

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factor 10x^2-13x+4

factor

10 x^{2} - 13 x + 4

(2 x - 1) (5 x - 4)

Solution steps

10 x^{2} - 13 x + 4

Break the expression into groups

= (10 x^{2} - 5 x) + (- 8 x + 4)

Factor out

5 x

from

10 x^{2} - 5 x : 5 x (2 x - 1)

Factor out

- 4

from

- 8 x + 4 : - 4 (2 x - 1)

= 5 x (2 x - 1) - 4 (2 x - 1)

Factor out common term

2 x - 1

= (2 x - 1) (5 x - 4)

- \frac{1}{5} + 2

2 - \frac{1}{4} (3.9)

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

x^{2} - 6 x - 91

x^{2} + 17 x + 72