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Popular >

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

Solution

factor

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

Solution

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

Solution steps

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

Factor out common term

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

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

Factor

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

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

Apply exponent rule:

aa = a^{2}

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

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

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Frequently Asked Questions (FAQ)

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