Algebra Chapter 8 Notes: Sargent Fall 2010 1 CHAPTER 8: POLYNOMIALS AND FACTORING Notes #6 8-1: Adding and Subtracting Polynomials A. Describing polynomials A ____________________ is an expression that is a number, a variable, or a product of a number and one or more variables. Ex: The _____________ of a monomial is the sum of the exponents of its variables. For a nonzero constant, the degree is ___. Zero has ____ degree. Find the degree of each monomial. 1.) 2 3 x 2.) 7 x 2 y 3 3.) 4 A ____________________ is a monomial or a sum and/or difference of monomials. Standard form of a polynomial means that the degrees of its monomial terms ______________ from left to right. The ____________ of a polynomial in one variable is the same as the degree of the monomial with the greatest exponent. Ex: 3x 4 5 x 2 7 x 1 Polynomial Degree Name Using Degree Number of Terms Name Using Number of Terms 7 x 4 3x 2 2 x 1 4 x 3 9 x 4 11x 5
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Algebra Chapter 8 Notes: Sargent Fall 2010
1
CHAPTER 8: POLYNOMIALS AND FACTORING
Notes #6
8-1: Adding and Subtracting Polynomials
A. Describing polynomials
A ____________________ is an expression that is a number, a variable, or a product of a
number and one or more variables.
Ex:
The _____________ of a monomial is the sum of the exponents of its variables. For a
nonzero constant, the degree is ___. Zero has ____ degree.
Find the degree of each monomial.
1.) 2
3x 2.) 7x2y3 3.) 4
A ____________________ is a monomial or a sum and/or difference of monomials.
Standard form of a polynomial means that the degrees of its monomial terms
______________ from left to right.
The ____________ of a polynomial in one variable is the same as the degree of the
monomial with the greatest exponent.
Ex: 3x4 5x2 7x 1
Polynomial Degree Name Using
Degree
Number of
Terms
Name Using
Number of
Terms
7x 4
3x2 2x 1
4x3
9x4 11x
5
Algebra Chapter 8 Notes: Sargent Fall 2010
2
Write each polynomial in standard form. Then name each polynomial based on its degree and
number of its terms.
4.)5 2x 5.) 3x4 4 2x2 5x4 6.) 3y 4 y3
B. Adding and subtracting polynomials
You can add polynomials by adding or subtracting like terms. You can add or