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The Maxima on-line user's manual

Algebra Calculator

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Ele2polynome Calculator

Ele2polynome

Function: ele2polynome (<L>, <z>) returns the polynomial in <z> s.t. the elementary symmetric functions of its roots are in the list <L> = [<n>, <e_1>, ..., <e_n>], where <n> is the degree of the polynomial and <e_i> the <i>-th elementary symmetric function.

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) ele2polynome ([2, e1, e2], z);
                                    2
          (%o1)                    z  - e1 z + e2
          (%i2) polynome2ele (x^7 - 14*x^5 + 56*x^3  - 56*x + 22, x);
          (%o2)          [7, 0, - 14, 0, 56, 0, - 56, - 22]
          (%i3) ele2polynome ([7, 0, -14, 0, 56, 0, -56, -22], x);
                            7       5       3
          (%o3)            x  - 14 x  + 56 x  - 56 x + 22
     The inverse: polynome2ele (<P>, <z>).

Also see: polynome2ele, pui2polynome.

(%o1)                                true
(%i2) 

Ele2polynome Example

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ele2polynome ([2, e1,...

polynome2ele (x^7 - ...

ele2polynome ([7, 0,...

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ele2polynome-polynome2ele

polynome2ele (x^7 - 1...

ele2polynome ([7, 0,...

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ele2polynome

? ele2polynome;

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ele2polynome-polynome2ele

ele2polynome ([2, e1,...

polynome2ele (x^7 - ...

ele2polynome ([7, 0,...

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ele2polynome-polynome2ele

polynome2ele (x^7 - 1...

ele2polynome ([7, 0,...

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