Descartes' Rule of Signs is used to determine the maximum number of positive and negative real roots of a polynomial. For positive roots, count sign changes in the coefficients of $P(x)$. For negative roots, count sign changes in the coefficients of $P(- x)$. The actual number of roots is either equal to the count or less than it by an even integer.
The equation $x^4 + 5x^3 - x^2 + 7x + 9 = 0$ has roots -
Asked in Asst. Statistical Officer (Agri. Deptt.) 2024 · Topic: Mechanics (Lagrangian Formulation (Generalized Coordinates, Euler-Lagrange Equations))
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