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#1 2007-11-16 22:04:55

tony123
Member
Registered: 2007-08-03
Posts: 195

Determine

Determine all positive integers a and b such that


divides

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#2 2007-11-17 14:29:07

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

Re: Determine

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:

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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