The last case arises when we consider the finite values of z for which the polynomial coefficient of sn vanishes.
The two dots at the end are frequently omitted when the part affected includes all the terms of the polynomial to the end.
But the polynomial method as a system was of short duration.
This polynomial expression was shortened by Linnæus to Zeus faber.
1.
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. N=2 gives a "quadratic" and N=3, a "cubic".
2.