Factorise: $1 + x^{5}$

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Solution

The zero of the polynomial is $- 1$ .
So divide the equation by $(x + 1)$
By dividing the equation, we get
$(1 + x^{5})$ $= (x + 1) (x^{4} - x^{3} + x^{2} - x + 1)$

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