What is factor 2x^2-9x+7 ?

The solution to factor 2x^2-9x+7 is (x-1)(2x-7)

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factor 2x^2-9x+7

factor

2 x^{2} - 9 x + 7

(x - 1) (2 x - 7)

Solution steps

2 x^{2} - 9 x + 7

Break the expression into groups

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

Factor out

2 x

from

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

Factor out

- 7

from

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

= 2 x (x - 1) - 7 (x - 1)

Factor out common term

x - 1

= (x - 1) (2 x - 7)

- 4 - 5 + 4 + (- 5)

3 x^{2} + 16 x + 21

2 x^{2} + 2 = 0

11 - 62

\frac{2}{5} (x - 16) = - 6