SOLUTION: How do I factor P(x) = x^5 - 81x ?

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Question 663285: How do I factor P(x) = x^5 - 81x ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = x^5 - 81x

f(x) = x(x^4 - 81)

f(x) = x( (x^2)^2 - 9^2 )

f(x) = x(x^2 - 9)(x^2 + 9)

f(x) = x(x^2 - 3^2)(x^2 + 9)

f(x) = x(x - 3)(x + 3)(x^2 + 9)