Pre Calc Vocab

The quotient of two algebraic expressions is fractional expression, and the quotient of the polynomials is a ____ ___.

rational expression

Ther process used to create a radical free denominator is known as ____.

rationalizing

The expression a + b √m and a−b √m are _____

conjugates

The point 0 on the real number line is called the ____.

origin

The ___ of an algebraic expression are those parts separated by addition

Terms

The distance between the origin and point representing a real number on the real number line is the ____ ____ of the real number.

Absolute value

A polynomial is ___ ____ when each of its factors is prime.

Completely factored

Fraction expression with separate fraction in the numerator, denominator, or both are called ____ fractions

Complex

A number that can be written as the product of two or more prime numbers is called a ____ number

Composite

It is sometimes possible to write two inequalities as one inequality, called a ___ inequality.

Double

Two algebraic expression that have the same domain and yield the same values for all numbers in their domains are called ____.

Equivalent

In the expression b∧m/n, m denotes the ___ to which the base is released and n denotes the ___ or root to be taken

Exponent, index

An ___ solution is a solution that does not satisfy the original equation.

Extraneous

Four methods that can be used to solve a quadratic equation are ___, extracting __ ___, ___ the ___, and the ___ ___.

Factoring; square roots; complete the square; quadratic formula

In the radical from ⁿ√a, n is the positive integer is the ___ of the radical and the number a is the ____.

Index; radicand

Radical expressions can be combined (added or subtracted) when they are ___ ____.

Like radicals

A ____ ____ ____ is the square of binomial, and has the form u²+2uv+v² or u²-2uv+v²

Perfect square trinomial

A convenient way of writing very large or very small numbers is called _________ _________.

Scientific notation

The set of all real numbers that are solution of an inequality is the ___ ___ of the inequality.

Solution Set

One of the two equal factors of a number is called a ____ ____ of the number.

Square root

The ___ ___ states that if ab=0 than a=0 or b=0

Zero-factor property

A linear equation in one variable x is an equation that can be written in the standard form ____.

ax+b=0

The set of real number for which an algebraic expression is defined is the ___ of the expression.

domain

An ___ is a statement that equates two algebraic expressions

equation

In the exonotial form of aⁿ, n is the ____ and a is the _____.

exponent; base

The process of writing a polynomial as a product is called ____.

factoring

THe set of all points on the real number line that represents the solution set of an inequality is the _______ of the inequality.

graph

_____ numbers have infinite non repeating decimal representations.

irrational

The symbol ∪ is the _________ symbol, which denotes the combining of two sets.

union