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

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

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factor 4x^2-9x+2

factor

4 x^{2} - 9 x + 2

(4 x - 1) (x - 2)

Solution steps

4 x^{2} - 9 x + 2

Break the expression into groups

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

Factor out

x

from

4 x^{2} - x : x (4 x - 1)

Factor out

- 2

from

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

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

Factor out common term

4 x - 1

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

8 x^{6} + 27

x^{3} - 3 x^{2} + 9 x - 7

x^{2} + 3 x + 2 < 0

7 x + 2 = 3 x - 8

11 \cdot 11