Posted by **Donielle** on Friday, December 16, 2011 at 12:11pm.

Look at the following polynomials and their factorizations:

x^2-1=(x-1)(x+1)

x^3-1=(x-1)(x^2+x+1)

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

In general, how can x^n-1 be factored. Show that this factorization works by multiplying the factors

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