Kunze Linear Algebra · Problem 4.5.6

Polynomials

Mathematics — Methods · congruence-arithmetic

Problem

Suppose f≡g mod pf \equiv g \bmod p and f1≡g1 mod pf_1 \equiv g_1 \bmod p. ((a)) Prove that f+f1≡g+g1 mod pf + f_1 \equiv g + g_1 \bmod p. ((b)) Prove that ff1≡gg1 mod pff_1 \equiv gg_1 \bmod p.

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