Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

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

Determine all positive integers a and b such that

divides

Offline

**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.

Offline