BUILT-IN MATHEMATICA SYMBOL

CoefficientList

gives a list of coefficients of powers of var in poly, starting with power 0.

CoefficientList

gives an array of coefficients of the

.

MORE INFORMATION

The dimensions of the array returned by CoefficientList are determined by the values of the Exponent.

Terms that do not contain positive integer powers of a particular variable are included in the first element of the list for that variable.

CoefficientList always returns a full rectangular array. Combinations of powers that do not appear in poly give zeros in the array.

CoefficientList gives .

CoefficientList works whether or not poly is explicitly given in expanded form.

EXAMPLES

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Basic Examples (3)

Find the coefficients in a polynomial:

CoefficientList works even when the polynomial has not been expanded out:

Matrix of coefficients for a quadratic form:

Find the coefficients in a polynomial:

In[1]:=

Out[1]=

CoefficientList works even when the polynomial has not been expanded out:

In[1]:=

Out[1]=

Matrix of coefficients for a quadratic form:

In[1]:=

Out[1]=

Scope (2)

Univariate polynomial coefficient lists:

Multivariate polynomial coefficient lists:

Options (1)

Coefficient list over the integers modulo 2:

Properties & Relations (4)

Use Coefficient to get a coefficient at a specified power of the variable:

The list of coefficients can be obtained using Coefficient and Exponent:

FromDigits can reconstruct a univariate polynomial from the list of its coefficients:

Fold the operation for multivariate polynomials:

Polynomial multiplication is convolution as performed by ListConvolve:

For multivariate polynomials CoefficientList gives a tensor of the coefficients:

CoefficientArrays gives the list of arrays of polynomial coefficients ordered by total degrees:

The coefficient of

:

In

the coefficient of

is the element at position

:

In

the position is

concatenated with a

s and b

s (

and

indicate the first and second variables):