Modulo Polynomial Division/Examples/Arbitrary Example 2

Example of Modulo Polynomial Division

Let:

\(\ds \map f x\)

\(=\)

\(\ds x^3 - x^2 - 1\)

\(\ds \map g x\)

\(=\)

\(\ds x + 1\)

Then $\map f x$ not divisible by $\map g x$ modulo $11$.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): division modulo $n$
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): division modulo $n$