1. <mathematics> An arithmetic expression composed by summing multiples of powers of some variable.

P(x) = sum a_i x^i for i = 0 .. N

The multipliers, a_i, are known as "coefficients" and N, the highest power of x with a non-zero coefficient, is known as the "degree" of the polynomial.

If N=0 then P(x) is constant, if N=1, P(x) is linear in x.