What is factor 3x^2-10x+7 ?

The solution to factor 3x^2-10x+7 is (x-1)(3x-7)

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factor 3x^2-10x+7

factor

3 x^{2} - 10 x + 7

(x - 1) (3 x - 7)

Solution steps

3 x^{2} - 10 x + 7

Break the expression into groups

= (3 x^{2} - 3 x) + (- 7 x + 7)

Factor out

3 x

from

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

Factor out

- 7

from

- 7 x + 7 : - 7 (x - 1)

= 3 x (x - 1) - 7 (x - 1)

Factor out common term

x - 1

= (x - 1) (3 x - 7)

8 x^{2} + 16 x - 68 = 3

\frac{3}{4} x = 12

9 (y - 5) = - 9

\frac{2 x}{x - 2} \geq 1

- 25 + 21 + (- 4) + 25