1.
ascending order: terms of a polynomial arranged so the powers of one variable are in increasing order
2.
binomial: a polynomial with two terms separated by addition or subtraction
3.
degree of a monomial: the sum of the exponents of all its variables
4.
degree of a polynomial: the degree of the monomial term with the highest degree
5.
descending order: terms of a polynomial arranged so the powers of one variable are in decreasing order
6.
like terms: monomial terms that are either identical or differ only in their coefficients
7.
monomial: a number, a variable, or a product of a number and one or more variables
8.
multiply polynomial by monomial: product is found by distributing the monomial by each term inside the parentheses, remembering to add exponents of bases
9.
multiplying binomials: product is found by FOIL (First Outer Inner Last), vertical, horizontal methods, and the box
10.
multiplying polynomials: product is found by using the distributive property and simplifying by combining like terms
11.
negative exponents: switch the location of the term (if at top moves to bottom, if at bottom moves to top) "once you move it, loose it (the negative)"
12.
polynomial: a monomial or a sum of monomials
13.
power: an expression of the form xⁿ, when x is the base and n is the exponent
14.
power of a power: multiply exponents
15.
power of a product: raise each term inside parentheses to the power
16.
power of a quotient: raise each term inside the parentheses to the power
17.
product of a sum and difference: (a + b)(a - b) = a² - b²
18.
product of powers: when you have the same base, and are multiplying, add exponents
19.
quotient of powers: subtract exponents of the same bases
20.
square of a difference: (a - b)² = (a - b)(a - b) = a² - 2ab + b²
21.
square of a sum: (a + b)² = (a + b)(a + b) = a² + 2ab + b²
22.
trinomial: a polynomial with three terms separated by addition or subtraction
23.
zero exponent: anything to the zero power is always one
