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Popular >

factor 4x^3-8x^2-x+2

Solution

factor

4 x^{3} - 8 x^{2} - x + 2

Solution

(x - 2) (2 x + 1) (2 x - 1)

Solution steps

4 x^{3} - 8 x^{2} - x + 2

= (4 x^{3} - 8 x^{2}) + (- x + 2)

Factor out

4 x^{2}

from

4 x^{3} - 8 x^{2} : 4 x^{2} (x - 2)

Factor out

- 1

from

- x + 2 : - (x - 2)

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

Factor out common term

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

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

Factor

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

= (x - 2) (2 x + 1) (2 x - 1)

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Frequently Asked Questions (FAQ)

What is factor 4x^3-8x^2-x+2 ?
The solution to factor 4x^3-8x^2-x+2 is (x-2)(2x+1)(2x-1)