What is factor 2x^2-9x+4 ?

The solution to factor 2x^2-9x+4 is (2x-1)(x-4)

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factor 2x^2-9x+4

factor

2 x^{2} - 9 x + 4

(2 x - 1) (x - 4)

Solution steps

2 x^{2} - 9 x + 4

Break the expression into groups

= (2 x^{2} - x) + (- 8 x + 4)

Factor out

x

from

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

Factor out

- 4

from

- 8 x + 4 : - 4 (2 x - 1)

= x (2 x - 1) - 4 (2 x - 1)

Factor out common term

2 x - 1

= (2 x - 1) (x - 4)

2 (- 27)^{\frac{10}{3}}

2 (\frac{1}{3})^{3}

3 x = 2 x + 4

102 \cdot 2

\frac{x}{6} = \frac{8}{3}