Kunze Linear Algebra · Problem 4.5.7

Polynomials

Mathematics — Methods · congruence-polynomial-substitution

Problem

Use Exercise 6 to prove the following. If ff, gg, hh, and pp are polynomials over the field FF and p≠0p \neq 0, and if f≡g mod pf \equiv g \bmod p, then h(f)≡h(g) mod ph(f) \equiv h(g) \bmod p.

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