Polynomials are mathematical expressions that contain a sum of powers of indeterminate variables multiplied by coefficients. A core concept in algebra, polynomials are used in calculus and throughout all areas of mathematics. Wolfram|Alpha can compute several interesting properties of polynomials including extrema, roots, alternate forms, symmetry and parity. Additionally, polynomials can be factored, expanded or divided.
Examine polynomials and compute properties like domain and range, degree, roots, plots and discriminant.
Expand polynomial expressions using FOIL and other methods.
Find all real and complex solutions of univariate and multivariate polynomial equations.
Factorize quadratics and higher-degree polynomials.
Divide a polynomial by another polynomial to find the quotient and remainder.
Find a polynomial curve that passes through a list of points.
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Simplify a polynomial by completing the square.