Old Factor qstn:BobP

Bob, I did eventually find a factorization for the expression
x^4 + 2x^3 + 4x^2 + 8x +16
The original problem was probably something like x^5-32=0. I think the poster divided (x-2) into it to get the expression above. This of course is the 5th roots of 32, x=2 being the only real one. Realizing that this was probably the original question, I looked up the 5th roots of unity and got the facorization as:
(x^2 + (1+sqrt(5))x + 4)(x^2 + (1-sqrt(5))x + 4)
I would not expect a high school algebra course to cover the roots of unity, so I doubt the poster should be able to factor this. Just thought I'd mention this.

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asked by Roger

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