Primitive Part

The primitive part of a polynomial P(x) is P(x)/k, where k is the content.

For a general univariate polynomial P(x), the Wolfram Language function FactorTermsList[poly, x] returns a list of three elements, the first being the integer content k, the second being the polynomial content, i.e., a primitive (with respect to all variables) polynomial that does not depend on x and which divides all coefficients of P(x), and the third element being the primitive part of P(x). The original polynomial P(x) is then the product of these three parts. For example, FactorTermsList[9E x^3 + 3E, x] returns {3, E, 1 + 3x^2}.

See also


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Cite this as:

Weisstein, Eric W. "Primitive Part." From MathWorld--A Wolfram Web Resource.

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