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

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

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factor 7x^2-10x+3

factor

7 x^{2} - 10 x + 3

(7 x - 3) (x - 1)

Solution steps

7 x^{2} - 10 x + 3

Break the expression into groups

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

Factor out

x

from

7 x^{2} - 3 x : x (7 x - 3)

Factor out

- 1

from

- 7 x + 3 : - (7 x - 3)

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

Factor out common term

(7 x - 3) : (7 x - 3) (x - 1)

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

4 x - 3 (- 2) = 18

\frac{3 ^{2} + 9}{10}

7 x - 1 = 2 x

2 x - 5 x = - 15

x^{2} + 10 x + 12 = 36