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Let (a0)/(n+1)+(a1)/n+(a2)/(n-1)++(a(n-...

Let `(a_0)/(n+1)+(a_1)/n+(a_2)/(n-1)++(a_(n-1))/2+a_n=0.` Show that there exists at least real `x` between 0 and 1 such that `a_0x^n+a_1x^(n-1)+a_2x^(n-2)++a_n=0`

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