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**tony123****Member**- Registered: 2007-08-03
- Posts: 192

Determine all positive integers a and b such that

divides

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**yttrium88****Member**- Registered: 2005-12-01
- Posts: 20

What have you done so far?

I think the best strategy would be to multiply x²+x+1 by other polys and see if you can get another polynomial out that only has 3 nonzero terms. One thing you know about these polys that they must have a constant term of 1. Do you see why?

Also, you could try making a multiplication grid:

x²

x

1 1

1 ax ...

Basically, you want to see what kinds of polynomials you can get out of this multiplication.

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