What is factor 2x^2-11x+14 ?

The solution to factor 2x^2-11x+14 is (x-2)(2x-7)

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factor 2x^2-11x+14

factor

2 x^{2} - 11 x + 14

(x - 2) (2 x - 7)

Solution steps

2 x^{2} - 11 x + 14

Break the expression into groups

= (2 x^{2} - 4 x) + (- 7 x + 14)

Factor out

2 x

from

2 x^{2} - 4 x : 2 x (x - 2)

Factor out

- 7

from

- 7 x + 14 : - 7 (x - 2)

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

Factor out common term

x - 2

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

13 = \frac{1}{4} (2 x + 16)

\frac{5 x ^{7} y ^{2}}{5 x y ^{2}}

\frac{1}{2} - \frac{x}{4} = - \frac{1}{8}

25 t^{2} - 40 t + 16

24 x^{2} + 32 x + 6 x y + 8 y