The remainder of the division is simplified in case of common linear factors of numerator and denominator by

If the numerator polynomial has at least the same degree as the denominator polynomial,

then you get a polynomial as a result

The remainder of the division, if any, then is a

An nth degree polynomial is defined here via its n+1 coefficients. Coefficients of course also can be 0.

Alternatively, the polynomial can also be entered directly as the sum of powers of x (with ^ as power operator).

For example, there are 2 ways to define the same 5th degree polynomial:

x^5 - 8x^3 + 2x + 1

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