what is an index of a polynomial
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The index of a polynomial P(x1,x2, ..., xk) at a point q = (q1, q2, ..., qk) is defined as follows: Let a1, a2, ..., am be he distinct real roots of P(q1,q2, ..., q(k-1),xk), in ascending order. Let a0 be minus infinity and a(m+1) be plus infinity
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