If we have 2 polynomials f and g over a field F and the gcd(f,g)=1 can we represent every polynomial with coefficients in F as a liner combination of f and g?
2026-04-08 23:07:08.1775689628
Gcd(f,g)=1 can we express the entire ring of polynomials using f and g?
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Hint: can you represent $1$ as a linear combination of $f$ and $g$? Can you construct other polynomials from your solution for $1$?