Rings and Fields · Algebra
Polynomial Rings
The polynomial ring F[x] behaves like the integers: it has a division algorithm, GCDs, and unique factorization. Irreducible polynomials are the primes.
WHAT STUDENTS WILL LEARN
✓Define R[x] and its properties
✓Apply the division algorithm in F[x]
✓Identify irreducible polynomials
✓Apply Eisenstein’s criterion
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