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The Maxima on-line user's manual

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Polynome2ele Calculator

Polynome2ele

Function: polynome2ele (<P>, <x>) gives the list <l> = [<n>, <e_1>, ..., <e_n>] where <n> is the degree of the polynomial <P> in the variable <x> and <e_i> is the <i>-the elementary symmetric function of the roots of <P>.

ele2polynome ([2, e1, e2], z);
 polynome2ele (x^7 - 14*x^5 + 56*x^3  - 56*x + 22, x);
 ele2polynome ([7, 0, -14, 0, 56, 0, -56, -22], x);

          (%i1) polynome2ele (x^7 - 14*x^5 + 56*x^3 - 56*x + 22, x);
          (%o1)          [7, 0, - 14, 0, 56, 0, - 56, - 22]
          (%i2) ele2polynome ([7, 0, -14, 0, 56, 0, -56, -22], x);
                            7       5       3
          (%o2)            x  - 14 x  + 56 x  - 56 x + 22
     The inverse: ele2polynome (<l>, <x>)

(%o1)                                true
(%i2) 

Polynome2ele Example

Related Examples

polynome2ele

? polynome2ele;

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polynome2ele

? polynome2ele;

Calculate