Examples for

# Algebra

Algebra is one of the core subjects of mathematics. Algebra consists of the study of variables within number systems, along with operations that act on numbers and symbols. Wolfram|Alpha is a tremendous resource for solving equations; exploring polynomials; and studying fields, groups, vectors and matrices.

Equation Solving

Solve equations in one or more variables both symbolically and numerically.

#### Solve an equation with parameters:

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Rational Functions

Compute discontinuities and other properties of rational functions.

#### Compute a partial fraction decomposition:

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Quaternions

Perform computations with the quaternion number system.

#### Do calculations with quaternions:

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Domain & Range

Find the domain and range of mathematical functions.

#### Compute the range of a function:

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Polynomials

Solve, plot and find alternate forms of polynomial expressions in one or more variables.

#### Factor a polynomial:

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Simplification

Simplify algebraic functions and expressions.

#### Simplify an expression:

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Finite Groups

Discover properties of groups containing a finite number of elements.

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### GO FURTHER

Step-by-Step Solutions for Algebra

Algebra Web App

### RELATED EXAMPLES

• Arithmetic
• Calculus & Analysis
• Geometry
• Linear Algebra
• Matrices

Find properties and perform computations on matrices.

#### Compute eigenvalues and eigenvectors of a matrix:

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Finite Fields

Discover properties of fields containing a finite number of elements.

#### Compute a specific property:

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