# Polynomial Division and Rational Expressions

### Terms

### Complex Rational Expression

The result when a rational expression is divided by a nonzero rational expression.### Denominator

### Distributive Property

Multiplication of numbers that distributes over addition and subtraction: a(b ± c) = ab ± ac.### Equation

An expression that states the equivalence of two algebraic expressions.### Equivalent Equations

Different equations that have the same solution(s).### Factoring

Breaking up an algebraic expression into two or more expressions that can be multiplied together to get the original expression.### Greatest Common Factor (GCF)

The largest positive integer that evenly divides (with zero remainder) two or more nonzero numbers. It is also known as the**greatest common divisor**or

**highest common factor**. For example, the

**GCF**of 18 and 24 is 6.

### Independent Variable

Variable in a function that assumes a value freely or independently.### Inequality

A relation between two algebraic expressions that aren't equal. It uses the symbols >, <, ≤, and ≥.### Irrational

Any real number that can't be expressed as a fraction \frac{p}{q},*q*≠ 0. Irrational numbers do not have a finite or repeating decimal representation. For example, \sqrt{2}, π, and

*e*are irrational numbers.

### Like Terms

Two terms with the same variables raised to the same exponent. Like terms may have different coefficients.### Monomial

A polynomial with one term.### Multivariable Polynomial

A polynomial with more than one variable.### Numerator

The top part of a fraction. "I'll be back... on top of the denominator." - Numerator II: Judgment Day### Polynomial

An algebraic expression constructed from variables and constants using addition subtraction, multiplication, and positive integer exponents.### Quadratic Polynomial

A polynomial of degree two.### Rational Expression

The expression that results when a polynomial is divided by a nonzero polynomial### Solution

The value of a variable that satisfies an equation or inequality.### Trinomial

A polynomial with three terms.### Variable

A value that changes. Variables are commonly represented by the letters*x*,

*y*, or

*z*.

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