What is factor x^5-x^3-x^2+1 ?

The solution to factor x^5-x^3-x^2+1 is (x+1)(x-1)^2(x^2+x+1)

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factor x^5-x^3-x^2+1

factor

x^{5} - x^{3} - x^{2} + 1

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

Solution steps

x^{5} - x^{3} - x^{2} + 1

= (x^{5} - x^{3}) + (- x^{2} + 1)

Factor out

x^{3}

from

x^{5} - x^{3} : x^{3} (x^{2} - 1)

Factor out

- 1

from

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

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

Factor out common term

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

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

Factor

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

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

Factor

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

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

\frac{8 6}{2}

2464

\frac{( - 5 x ^{4} - 11 x ^{3} - x ^{2} - 8 x - 20 )}{( x + 2 )}

5 x^{2} - 22 x + 21

a^{2} + ba

What is factor x^5-x^3-x^2+1 ?
The solution to factor x^5-x^3-x^2+1 is (x+1)(x-1)^2(x^2+x+1)