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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.
multiplying binomials: product is found by FOIL (First Outer Inner Last), vertical, horizontal methods, and the box

9.
multiplying polynomials: product is found by using the distributive property and simplifying by combining like terms

10.
multiply polynomial by monomial: product is found by distributing the monomial by each term inside the parentheses, remembering to add exponents of bases

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

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