I have a sixth degree polynomial with positive real roots. I need to know the conditions of coefficients in order to the polynomial been positive for any positive root.

P(x): a6*x^6 + a5*x^5 + a4*x^4 + a3*x^3 + a2*x^2 + a1*x + a0 > 0 and x > 0

Ulrich and Watson found the conditions for 4th grade polynomials (1994). But, I don't find them for higher grade polynomials.

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