
Clift's Theorem
Clift's Theorem addresses how the sum of the roots of a polynomial relates to its coefficients. Specifically, it states that for a polynomial equation, the sum of its roots (solutions) is equal to the negative of the coefficient of the second-highest degree term divided by the leading coefficient. This relationship offers a straightforward way to find the sum of roots without solving the entire equation, streamlining analysis in algebra and polynomial theory.