What is factor x^7-2x^5-1 ?

The solution to factor x^7-2x^5-1 is (x+1)(x^6-x^5-x^4+x^3-x^2+x-1)

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factor x^7-2x^5-1

factor

x^{7} - 2 x^{5} - 1

(x + 1) (x^{6} - x^{5} - x^{4} + x^{3} - x^{2} + x - 1)

Solution steps

x^{7} - 2 x^{5} - 1

Use the rational root theorem

= (x + 1) \frac{x ^{7} - 2 x ^{5} - 1}{x + 1}

\frac{x ^{7} - 2 x ^{5} - 1}{x + 1} = x^{6} - x^{5} - x^{4} + x^{3} - x^{2} + x - 1

= (x + 1) (x^{6} - x^{5} - x^{4} + x^{3} - x^{2} + x - 1)

\frac{t ^{2}}{2} + 4 t + 5 = 0

(- 2 + - 8) + (5 - - 50)

2 x^{2} + 5 x = 4

12 x^{2} - 7 x - 12

350 - 272 + 24

What is factor x^7-2x^5-1 ?
The solution to factor x^7-2x^5-1 is (x+1)(x^6-x^5-x^4+x^3-x^2+x-1)