## Key Concepts

• Divisibility Rules
• Integers divisible by 5 end in 0 or 5. Integers divisible by 10 end in zero. Integers divisible by 2 end have a final digit that is even.
• If the sum of the digits of an integer is divisible by 3 then so is the integer.

## Key Equations

• ${a}^{m}\cdot {a}^{n}={a}^{m+n}$
• ${\left({a}^{m}\right)}^{n}={a}^{m\cdot n}$
• ${\left(ab\right)}^{m}={a}^{m}{b}^{m}$
• $\dfrac{a^{m}}{a^{n}}=a^{m-n}$
• $a^{0}=1$

## Glossary

term
definition
binomial
a polynomial with exactly two terms
composite number
a composite number is a number that is not prime
degree of a term
the exponent of its variable (the degree of a constant term is 0)
degree or a polynomial
the degree of a polynomial is the highest degree of all its terms
divisibility
if a number $m$ is a multiple of $n$, then we say that $m$ is divisible by $n$
factors
if $a \cdot b=m$, then $a$ and $b$ are factors of $m$, and $m$ is the product of $a$ and $b$
like terms
terms that are either constants or have the same variables with the same exponents
monomial
a polynomial with exactly one term
multiple of a number
A number is a multiple of $n$ if it is the product of a counting number and $n$
polynomial
an algebraic term, or two or more terms, combined by addition or subtraction
prime number
a number whose only factors are 1 and itself
square of a number
if $n^{2}=m$, then $m$ is the square of $n$
square root of a number
if $n^{2}=m$, then $n$ is the square root of $m$
trinomial
a polynomial with exactly three terms