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FactorSquareFreeList

FactorSquareFreeList[poly]
gives a list of square-free factors of a polynomial, together with their exponents.
List square-free factors of a polynomial:
List irreducible factors of a polynomial:
List square-free factors of a polynomial:
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List irreducible factors of a polynomial:
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A univariate polynomial:
A multivariate polynomial:
A rational function:
By default algebraic number coefficients are treated as independent variables:
With Extension->Automatic algebraic dependencies between coefficients are recognized:
Find square-free factors over the integers modulo 2:
List multiple factors in a trigonometric expression:
Remove root multiplicities:
FactorSquareFreeList gives a list of square-free factors:
This multiplies the factors together:
FactorSquareFree gives a product of factors:
Expand combines all the factors back together:
FactorList gives a list of irreducible factors:
A univariate polynomial has multiple factors if and only if its Discriminant is zero:
FactorInteger gives a list of prime factors of an integer:
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