Newton's identities relate two types of the "symmetric" kinds of these entities.
Newton's identities relate two types of the "symmetric" kinds of these entities. In a technique useful for integration, fractions with these entities in the numerator and denominator can be expressed as a sum of simpler fractions. Applying Vieta's formulas to these entities involves taking ratios of numbers found in them. One can find a matrix's eigenvalues by using these things' "characteristic" type. Abel and Ruffini found that these entities have no algebraic solutions when their degree is greater than four. Setting these expressions equal to zero is used to find their roots through synthetic division or factoring. For 10 points, name these entities made of powers of a variable.
Newton's identities relate two types of the "symmetric" kinds of these entities.
polynomials [prompt on algebraic expressions]