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Polynomial Division and Rational Expressions

Polynomial Division and Rational Expressions

Algebra Terms

Get down with the lingo

Complex Rational Expression

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


Distributive Property

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


An expression that states the equivalence of two algebraic expressions.

Equivalent Equations

Different equations that have the same solution(s).


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



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.


A polynomial with one term.

Multivariable Polynomial

A polynomial with more than one variable.


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


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



A polynomial with three terms.


A value that changes. Variables are commonly represented by the letters x, y, or z.

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