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.
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...which condition(s) $b,c,d$ must satisfy in order that one ( any ) root be the average of the other two roots?
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Ya i am agree with your thoughts and really the topic of symmetric polynomials is very interesting...i have read something about this topic..
ReplyDeleteYa i am agree with your thoughts and really the topic of symmetric polynomials is very interesting...i have read something about this topic..
ReplyDelete