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Wednesday, February 15, 2012

Polynomials

I am studying some more about polynomials, the topic of symmetric polynomials for example, is an interesting one.

Let $$x^3 + bx^2 + cx + d$$ be a polynomial with coefficients in $\mathbf{Q}$. We ask...

...which condition(s) $b,c,d$ must satisfy in order that one ( any ) root be the average of the other two roots?

To be continued.

2 comments:

  1. Ya i am agree with your thoughts and really the topic of symmetric polynomials is very interesting...i have read something about this topic..

    ReplyDelete
  2. Ya i am agree with your thoughts and really the topic of symmetric polynomials is very interesting...i have read something about this topic..

    ReplyDelete

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