What is factor 2x^2-13x+21 ?

The solution to factor 2x^2-13x+21 is (x-3)(2x-7)

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factor 2x^2-13x+21

factor

2 x^{2} - 13 x + 21

(x - 3) (2 x - 7)

Solution steps

2 x^{2} - 13 x + 21

Break the expression into groups

= (2 x^{2} - 6 x) + (- 7 x + 21)

Factor out

2 x

from

2 x^{2} - 6 x : 2 x (x - 3)

Factor out

- 7

from

- 7 x + 21 : - 7 (x - 3)

= 2 x (x - 3) - 7 (x - 3)

Factor out common term

x - 3

= (x - 3) (2 x - 7)

(x + 7)^{2} (x + 5) (x - 1) > 0

\frac{2}{3} x - 2 < 2 x - 3 < 6 + \frac{2}{3} x

\frac{x}{9} + \frac{1}{3} = \frac{1}{18}

(x + 1)^{2} - 20 = (x - 3)^{2}

0 = - 3 x + 6