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

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

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

factor

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

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

Solution steps

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

Use the rational root theorem

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

\frac{x ^{5} + x ^{2} - x - 1}{x - 1} = x^{4} + x^{3} + x^{2} + 2 x + 1

= (x - 1) (x^{4} + x^{3} + x^{2} + 2 x + 1)

Factor

x^{4} + x^{3} + x^{2} + 2 x + 1 : (x + 1) (x^{3} + x + 1)

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

(52 + 1) (52 - 1)

\frac{3}{5} \cdot \frac{4}{5}

(a^{2} b^{4} c)^{3}

(2 p + 7) (3 p^{2} + 4 p - 3)

4 x (x + 1) - (3 x - 8) (x + 4)

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