This is documentation for Mathematica 3, which was
based on an earlier version of the Wolfram Language.
 Coefficient Coefficient[ expr , form ] gives the coefficient of form in the polynomial expr. Coefficient[ expr , form , n ] gives the coefficient of form ^ n in expr. Coefficient picks only terms that contain the particular form specified. is not considered part of . form can be a product of powers. Coefficient[ expr , form , 0] picks out terms that are not proportional to form. Coefficient works whether or not expr is explicitly given in expanded form. See the Mathematica book: Section 1.4.6, Section 3.3.2. See also: Exponent, SeriesCoefficient. Further Examples Here is one way of getting the coefficient of from the polynomial. In[1]:= Out[1]= Here is an equivalent way. In[2]:= Out[2]= This gives the coefficient of x in the polynomial over the integers modulo . In[3]:= Out[3]= This gives the coefficients of x, x z, y and z in the expression. In[4]:= Out[4]= You can use variables that are powers. In[5]:= Out[5]= Such a power does not necessarily have to be an integer. In[6]:= Out[6]= Coefficient is quite fast for polynomial input. (The time will vary for different machines.) In[7]:= Out[7]= Even this harder example comes back in reasonable time. In[8]:= Out[8]= Coefficient can handle some algebraic dependencies. In[9]:= Out[9]=