# Polynomials Terms

## Get down with the lingo

### Algebraic Expressions

An expression that contains one or more terms and operations to combine them. Each term contains variable(s), constant(s), or a product of variables and constants.### Binomial

A polynomial with only two terms. The expression*x*– 3 is a binomial, and so is 96

*x*

^{2}

*y*+ 13,0278,543.

### Coefficient

The number being multiplied by a variable. Coefficients give regular old variables a little boost! For example, the coefficient in 3*x*is 3.

### Constant

A value that doesn't change. In a polynomial, the constant is the number that's not being multiplied by a variable, like the 4 in*x*

^{2}+ 11

*x*+ 4.

### Degree Of A Polynomial

The largest combined exponent value of any one term in that polynomial. For example, the degree of the polynomial 7*x*

^{9}– 2

*x*

^{5}

*y*

^{6}is 11. It also has a Ph.D. in Italian literature. Go figure.

### Descending Order

Greatest to least. In a polynomial, we usually write the terms starting with the highest exponent first, and the lowest (or the constant) last.### Difference Of Two Squares

An expression that takes the form*a*

^{2}–

*b*

^{2}that we can factor into the form (

*a*+

*b*)(

*a*–

*b*).

### Equations

Mathematical "sentences" that state the equality of two algebraic expressions.### Equivalent Equations

Two different pairs of equations that have the same solution(s).### Factoring

Breaking a polynomial into two or more expressions that can be multiplied together to get the original polynomial. Basically, it's like reverse-distributing.### Like Terms

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

A polynomial that's just a single term, like 5*x*or -16

*xy*

^{2}

*z*. Aww, it's so widdle and cute.

### Multivariable Polynomials

Polynomials with more than one variable. These guys like to mix it up.### Polynomial

An expression containing constants and variables that can be combined using addition, subtraction, and multiplication. Exponents on all variables must be positive whole numbers.### Prime Polynomial

Lke a prime number or Optimus Prime, prime polynomials can't be broken down any further by factoring. A prime polynomial's only factors are 1 and itself.### Quadratic Polynomials

A polynomial of degree 2.### Solution

The value(s) of variable(s) that satisfy an equation or inequality.### Trinomial

A polynomial with three terms. Third time's a charm.### Variable

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

*y*, or

*z*.

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