polynomial factorization

A polynomial is an algebraic expression containing sums and differences of monomials.

Roots of a polynomial are the values x for which \(p(x) = 0\) that is the points where the graph of the polynomial crosses or touches the x-axis.

Vieta’s formulas relate the roots of a polynomial to its coefficients through symmetric polynomial identities, providing formulas for sums and products of roots in quadratic, cubic, and higher-degree equations.

Particular products of powers, binomials, and trinomials are known as notable products.

Partial fraction decomposition is a practical and widely used method for rewriting a rational function (a quotient of two polynomials) as a sum of simpler elementary fractions.