1. Chapter R – A Review of Basic Concepts and Skills
Section 3 – Exponents, Scientific Notation, and a Review of Polynomials

2. The Properties of Exponents

3. Scientific Notation
In applications, we encounter numbers that are extremely large or small. When computing with numbers this size, scientific notation is used.
A non-zero number written in scientific notation has the form
N x 10k where |N| is between 1 and 10 and k is an integer

4. Identifying and Classifying Polynomial Expressions
Monomial: one term, no variables in the denominator
Degree of a monomial – sum of exponents on factors
Polynomial: monomial or sum/difference of monomial terms
Degree of a polynomial – highest degree term
Binomial: polynomail with two terms
Trinomial: polynomial with three terms

5. Classify the Polynomials

6. Adding/Subtracting Polynomials
(0.7n3 + 4n2 + 8)+(0.5n3 – n2 – 6n)-(3n2 +7n-10)

7. Multiplying Polynomials
3x ( 4x + 2y )
( x + 2 )( x + 1 )
( x + 5 )( x2 – 2x + 3 )

8. Special Polynomial Products
Product of a Binomial and its Conjugate
(a+b)(a-b)=a2 – b2
Square of a Binomial
(a+b)2 = a2 + 2ab + b2
(a-b)2 = a2 - 2ab + b2

9. HW!
R.3 pg 31 #8-146 EOE