What is factor 2x^2-11x+9 ?

The solution to factor 2x^2-11x+9 is (x-1)(2x-9)

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factor 2x^2-11x+9

factor

2 x^{2} - 11 x + 9

(x - 1) (2 x - 9)

Solution steps

2 x^{2} - 11 x + 9

Break the expression into groups

= (2 x^{2} - 2 x) + (- 9 x + 9)

Factor out

2 x

from

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

Factor out

- 9

from

- 9 x + 9 : - 9 (x - 1)

= 2 x (x - 1) - 9 (x - 1)

Factor out common term

x - 1

= (x - 1) (2 x - 9)

\frac{5}{6} - \frac{3}{4}

(3 x - 2) (2 x + 1) = 6 x^{2} - x - 5

6 x^{2} - 15 x + 6 = 0

\frac{2}{a ^{- 3}}

\frac{2}{3} (x + \frac{1}{2}) = - 1