# 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 96x2y + 13,0278,543.

### Coefficient

The number being multiplied by a variable. Coefficients give regular old variables a little boost! For example, the coefficient in 3x 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 x2 + 11x + 4.

### Degree Of A Polynomial

The largest combined exponent value of any one term in that polynomial. For example, the degree of the polynomial 7x9 – 2x5y6 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 a2b2 that we can factor into the form (a + b)(ab).

### 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 5x or -16xy2z. 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.

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.