What is factor x^7+1 ?

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

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factor x^7+1

factor

x^{7} + 1

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

Solution steps

x^{7} + 1

Rewrite

1

1^{7}

= x^{7} + 1^{7}

Apply factoring rule:

x^{n} + y^{n} = (x + y) (x^{n - 1} - x^{n - 2} y + \dots - x y^{n - 2} + y^{n - 1}), n i s o dd

x^{7} + 1^{7} = (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)

- 72 + 22

- 2 i (13 i)

- x^{2} + 10 x - 16

\frac{6 x ^{2} - 384}{4 x ^{2} - 40 x + 64} \cdot \frac{x ^{2} - 4}{x + 8}

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