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3Poly = [3, 0, 0, 0, 0, ...] x = [0, 1, 0, 0, 0, ...] x+3 = [3, 1, 0, 0, 0, ...] x*x = [0, 0, 1, 0, 0, ...] x*x+2*x+1 = [1, 2, 1, 0, 0, ...] (x+1)*(x+2) = [2, 3, 1, 0, 0, ...]
Terms are just convenient notations to describe polynomials and compute with them.