gives the greatest common divisor of the polynomials polyi.
Details and Options
- In PolynomialGCD[poly1,poly2,…], all symbolic parameters are treated as variables.
- PolynomialGCD[poly1,poly2,…] will by default treat algebraic numbers that appear in the polyi as independent variables.
- PolynomialGCD[poly1,poly2,…,Extension->Automatic] extends the coefficient field to include algebraic numbers that appear in the polyi.
Examplesopen allclose all
Properties & Relations (3)
The GCD of polynomials divides the polynomials; use PolynomialMod to prove it:
Cancel divides the numerator and the denominator of a rational function by their GCD:
PolynomialLCM finds the least common multiple of polynomials:
Resultant of two polynomials is zero if and only if their GCD has a nonzero degree:
Discriminant of a polynomial f is zero if and only if the polynomial has multiple roots: