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Mathematica > Mathematics and Algorithms > Polynomial Algebra >

Built-in Mathematica Symbol

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 .

Find coefficients of polynomials:

Find a coefficient at x:

Find a coefficient at a power of x:

Find the free term in a polynomial:

Find a coefficient at a multivariate monomial:

Find a coefficient over the integers modulo 2:

CoefficientList gives a list of all polynomial coefficients:

The same list of coefficients obtained using Coefficient and Exponent:

For multivariate polynomials CoefficientList gives a tensor of the coefficients:

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

The coefficient of x y³:

In cl the coefficient of x^a y^b is the element at position a+1, b+1:

In ca the position is a+b+1 concatenated with a 1s and b 2s (1 and 2 indicate the first & second variables):