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Popular >

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

Solution

factor

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

Solution

(x - 1)^{2} (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)

Factor out

- 1

from

- x + 1 : - (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)

Apply exponent rule:

aa = a^{2}

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

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

Popular Examples

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\frac{( 1.05 - 0.95 ) ^{2}}{12}

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\frac{3}{4} (- 6)

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)^2(x^2+x+1)