Examples for

# Polynomials

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.

Polynomials

Examine polynomials and compute properties like domain and range, degree, roots, plots and discriminant.

#### Compute a polynomial from zeros:

Expansion

Expand polynomial expressions using FOIL and other methods.

#### Expand a polynomial:

Solving Polynomial Equations

Find all real and complex solutions of univariate and multivariate polynomial equations.

Factorization

#### Factor a polynomial:

Long Division

Divide a polynomial by another polynomial to find the quotient and remainder.

#### Perform polynomial long division:

Polynomial Interpolation

Find a polynomial curve that passes through a list of points.

### GO FURTHER

Step-by-Step Solutions for AlgebraAlgebra Web App

### RELATED EXAMPLES

• Arithmetic
• Derivatives
• Domain & Range
• Equation Solving
• Integrals
• Limits
• Rational Functions
• Simplification
• Completing the Square

Simplify a polynomial by completing the square.