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FactorSquareFree
 FactorSquareFree[poly] pulls out any multiple factors in a polynomial.
FactorSquareFree[poly, Modulus->p] pulls out multiple factors modulo a prime p.
FactorSquareFree[poly, Extension->Automatic] extends the coefficient field to include algebraic numbers that appear in the coefficients of poly.
See The Mathematica Book: Section 3.3.4.
Further Examples
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