What is factor 1+x^7 ?

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

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factor 1+x^7

factor

1 + x^{7}

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

Solution steps

1 + x^{7}

Write in the standard form

= 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)

\frac{3}{2 - 1}

25 b - b^{3}

\frac{x - 2}{x + 2 - 2}

20 x y^{4}

4 x + 2 x^{2}

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