Vieta's Formula: [ Ссылка ]
[ Ссылка ]
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Polynomial Roots Sun and Product Formula: [ Ссылка ]
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Descartes’ Rule of Sign
f(x)=a_n x^n+a_(n-1) x^(n-1)+a_(n-1) x^(n-1)+⋯+a_2 x^2+a_1 x+a_0,x∈C
NOTE: Polynomial should be written in standard form with nonzero terms in the decreasing powers of single variable exponent.
Positive Real Roots
The number of positive real roots of polynomial f(x) is either equal to number of sign changes between the consecutive coefficients, or less than it by an even number.
Negative Real Roots
The number of negative real roots polynomial f(-x) is either equal to number of sign changes between the consecutive coefficients, or less than it by an even number.

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