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