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5.1.30 factorize
Syntax:
factorize ( poly_expression )
factorize ( poly_expression, 0 )
factorize ( poly_expression, 2 )
Type:
list of ideal and intvec
Syntax:
factorize ( poly_expression, 1 )
Type:
ideal
Purpose:
computes the irreducible factors (as an ideal) of the polynomial
together with or without
the multiplicities (as an intvec) depending on the second argument:
Note:
Not implemented for the coefficient fields real and finite fields of
type (p^n,a) .
Example:
ring r=32003,(x,y,z),dp;
factorize(9*(x-1)^2*(y+z));
→ [1]:
→ _[1]=9
→ _[2]=y+z
→ _[3]=x-1
→ [2]:
→ 1,1,2
factorize(9*(x-1)^2*(y+z),1);
→ _[1]=y+z
→ _[2]=x-1
factorize(9*(x-1)^2*(y+z),2);
→ [1]:
→ _[1]=y+z
→ _[2]=x-1
→ [2]:
→ 1,2
See
poly.
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