PolynomialRemainder

PolynomialRemainder[poly_, div_, var_] returns the remainder of poly divided by div treating var as the polynomial variable.

Attributes[PolynomialRemainder] := {Protected}

Simple examples

In[1]:= PolynomialRemainder[2 + x^2 + x^3, 2 + 2*x, x]
Out[1]= 2

In[2]:= PolynomialRemainder[x^3, x + y, x]
Out[2]= y^3*-1

In[3]:= PolynomialRemainder[1 + x^3, 1 + a*x^2, x]
Out[3]= 1 + (x)/(a)*-1