An expression that has no operations other than addition, subtraction, and multiplication by or of the other variables
The exponent of the highest power of the variable
A polynomial in the first degree
A polynomial in the second degree
A polynomial in the third degree
Multiplying Two Binomials
1. Multiply each term of one binomial by each term of the other
2. Combine the like terms
Factoring a Polynomial
This means to transform a polynomial to a product of two or more factors
is a polynomial whose only factors are itself and one
Coefficient of the highest degree term
These are binomials that are the same except for the sign between the terms
For example, 3x+5 and 3x-5 are conjugate binomials.
Difference of Two Squares
The factors of this are conjugate binomials.
For example, a^2 - b^2 = (a+b)(a-b)
Binomial Square Pattern
1) square the first term.
2) add twice the product of the two terms.
3) add the square of the last term.
The quadratic that is the result of squaring a binomial
The square root of n is the number that gives n for the answer if it is simplified.
If n is not negative, (√n)^2 = n
An expression that has a root, such as √49, is called a radical
A number that can be written as a ratio of two integers
A real number that cannot be written as a ratio of two integers
A given set of given numbers is closed under an operation if there is just one answer and the answer is in the given set whenever the operation is performed with the numbers in that set
Closure Under Multiplication
The set of real numbers is closed under multiplication
Closure Under Addition
The set of real numbers is closed under addition