Chapter 5 Summary: Exponents and Polynomials
Course Textbook by McKeague, Essentials of Elementary and Intermediate Algebra: A Combine Course, XYZ Textbook
Section 1:
Know The Following Definitions
 Exponent
 Base
 Product Rule for Exponents:
=am+n
 Power-to-a-Power Rule for Exponents:
= amn
 Product-to-a-Power Rule for Exponents:
=ambm
Section 2:
Know The Following Definitions
 Quotient Rule for Exponents:
= am-n
 Negative Rule for Exponents:
=
where
 Integer Exponents:
1
 Quotient-to-a-Power for Exponents:

=
Section 3:
Know The Following Definitions
 Monomials
Section 4:
Know The Following Definitions
 Binomials
 Polynomials
 Degree of a polynomial in one variable
Be Able To
 Simplify expressions using Product Rule for
Exponents
 Simplify expressions using Power-to-aPower Rule for Exponent
 Simplify expressions using Product-to-aPower Rule for Exponents
 Apply the concepts
Be Able To
 Simplify expressions using Quotient Rule
for Exponents
 Simplify expressions using Negative rule
for Exponents
 Simplify expressions using Integer
Exponents Rule
 Simplify expression using Quotient-to-aPower Rule for Exponents
 Apply the concepts
Be Able To
 Multiply Monomials
 Divide Monomials
 Multiplication of Number Written in
Scientific Notation
 Division of Number Written in Scientific
Notation
Be Able To
 Add Polynomials
 Subtract Polynomials
Chapter 5 Page 1 of 2
Section 5:
Know The Following Definitions
No additional definitions
Be Able To
 Multiply Polynomials
 Apply the concepts
Section 6:
Know The Following Definitions
 Binomial Squares
Be Able To
 Multiply binomials
 Apply the concepts
Be able to use the formulas
 Product of the Sum and Difference of the same two terms:

Square of a Binomial:
 a  b
 a  b
2
2
 a  b  a  b   a2  b2
 a 2  2ab  b2
 a 2  2ab  b2
Section 7:
Know The Following Definitions
No additional definitions
Section 8:
Know The Following Definitions
No additional definitions
Be Able To
 Divide Polynomials by a Monomial
Be Able To
 Do long division
 Divide Polynomials by Polynomials
(Binomial)
Chapter 5 Page 2 of 2