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11.1.19  Square-free factorization

The sqrfree command provides squarefree factorizations of polynomials; that is, it factors a polynomial as a product of powers of coprime factors, where each factor has roots of multiplicity 1 (in other words, a factor and its derivative are coprime).

Examples

sqrfree((x^2-1)*(x-1)*(x+2))
     

x2+3 x+2

x−1
2
          
sqrfree((x^2-1)^2*(x-1)*(x+2)^2)
     

x2+3 x+2
2 
x−1
3
          

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