Polynomial

Full name Microsoft.VisualBasic.Math.Lambda.Symbolic.Polynomial Assembly Microsoft.VisualBasic.Math.Lambda Members 8

01 Syntax

Microsoft.VisualBasic.Math.Lambda.Symbolic.Polynomial

02 Methods

Name	Overloads	Summary
inferVar	1	Infer the single variable of a univariate polynomial expression.
IsUnivariatePolynomial	1	Test whether expr is a polynomial in the single variable var (no transcendental functions, fractional or negative exponents).
Factor	2	Factorise a univariate polynomial expression (heuristic).
PolynomialMultiply	1	Multiply two univariate polynomials and return the result as an expression.
PolynomialDivide	1	Divide dividend by divisor, returning the quotient and assigning the remainder to remainder.
PolynomialRemainder	1	Remainder of dividing dividend by divisor.
PolynomialGCD	1	Greatest common divisor of two univariate polynomials (returned monic).

03 Members

method inferVar #

inferVar(Expression)

Infer the single variable of a univariate polynomial expression.

method IsUnivariatePolynomial #

IsUnivariatePolynomial(Expression, String)

Test whether expr is a polynomial in the single variable var (no transcendental functions, fractional or negative exponents). Used by Symbolic.Simplify() to decide whether the auto-factorisation step is safe to apply.

method Factor #

Factor(Expression, String)

Factorise a univariate polynomial expression (heuristic). Returns the factorised expression, e.g. x^2 + 2*x + 1 -> (x + 1)^2.

method Factor overload 2 #

Factor(Expression, String())

Factor a (possibly multivariate) polynomial over the explicitly given variable set.

method PolynomialMultiply #

PolynomialMultiply(Expression, Expression, String)

Multiply two univariate polynomials and return the result as an expression.

method PolynomialDivide #

PolynomialDivide(Expression, Expression, String)

Divide dividend by divisor, returning the quotient and assigning the remainder to remainder.

method PolynomialRemainder #

PolynomialRemainder(Expression, Expression, String)

Remainder of dividing dividend by divisor.

method PolynomialGCD #

PolynomialGCD(Expression, Expression, String)

Greatest common divisor of two univariate polynomials (returned monic).