### Key Terms

- binomial
- A binomial is a polynomial with exactly two terms.

- conjugate pair
- A conjugate pair is two binomials of the form $\left(a-b\right),\left(a+b\right).$ The pair of binomials each have the same first term and the same last term, but one binomial is a sum and the other is a difference.

- degree of a constant
- The degree of any constant is 0.

- degree of a polynomial
- The degree of a polynomial is the highest degree of all its terms.

- degree of a term
- The degree of a term is the sum of the exponents of its variables.

- monomial
- A monomial is an algebraic expression with one term. A monomial in one variable is a term of the form $a{x}^{m},$ where
*a*is a constant and*m*is a whole number.

- polynomial
- A monomial or two or more monomials combined by addition or subtraction is a polynomial.

- polynomial function
- A polynomial function is a function whose range values are defined by a polynomial.

- Power Property
- According to the Power Property,
*a*to the*m*to the*n*equals*a*to the*m*times*n*.

- Product Property
- According to the Product Property,
*a*to the*m*times*a*to the*n*equals*a*to the*m*plus*n*.

- Product to a Power
- According to the Product to a Power Property,
*a*times*b*in parentheses to the*m*equals*a*to the*m*times*b*to the*m*.

- Properties of Negative Exponents
- According to the Properties of Negative Exponents,
*a*to the negative*n*equals 1 divided by*a*to the*n*and 1 divided by*a*to the negative*n*equals*a*to the*n*.

- Quotient Property
- According to the Quotient Property,
*a*to the*m*divided by*a*to the*n*equals*a*to the*m*minus*n*as long as*a*is not zero.

- Quotient to a Negative Exponent
- Raising a quotient to a negative exponent occurs when
*a*divided by*b*in parentheses to the power of negative*n*equals*b*divided by*a*in parentheses to the power of*n*.

- Quotient to a Power Property
- According to the Quotient to a Power Property,
*a*divided by*b*in parentheses to the power of*m*is equal to*a*to the*m*divided by*b*to the*m*as long as*b*is not zero.

- standard form of a polynomial
- A polynomial is in standard form when the terms of a polynomial are written in descending order of degrees.

- trinomial
- A trinomial is a polynomial with exactly three terms.

- Zero Exponent Property
- According to the Zero Exponent Property,
*a*to the zero is 1 as long as*a*is not zero.