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Popular >

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

Solution

factor

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

Solution

(x - 8) (x + 1) (x - 1)

Solution steps

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

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

Factor out

x^{2}

from

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

Factor out

- 1

from

- x + 8 : - (x - 8)

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

Factor out common term

(x - 8) : (x - 8) (x^{2} - 1)

= (x - 8) (x^{2} - 1)

Factor

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

= (x - 8) (x + 1) (x - 1)

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Frequently Asked Questions (FAQ)

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