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Popular >

factor x^4-x^3+x-1

Solution

factor

x^{4} - x^{3} + x - 1

Solution

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

Solution steps

x^{4} - x^{3} + x - 1

= (x^{4} - x^{3}) + (x - 1)

Factor out

x^{3}

from

x^{4} - x^{3} : x^{3} (x - 1)

= x^{3} (x - 1) + (x - 1)

Factor out common term

(x - 1) : (x - 1) (x^{3} + 1)

= (x - 1) (x^{3} + 1)

Factor

x^{3} + 1 : (x + 1) (x^{2} - x + 1)

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

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Frequently Asked Questions (FAQ)

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