m153 lecture 1.2 bt

21
Today’s Agenda Attendance (missed yesterday?) Questions on Admin/Course? Review HW Section 1.2

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Page 1: M153 Lecture 1.2 BT

Today’s Agenda

• Attendance (missed yesterday?)

• Questions on Admin/Course?• Review HW• Section 1.2

Page 2: M153 Lecture 1.2 BT

Properties of Exponents

Page 3: M153 Lecture 1.2 BT

Properties of Exponents

Page 4: M153 Lecture 1.2 BT

Properties of Exponents

Page 5: M153 Lecture 1.2 BT

Simplify each of the following. Leave answers in exponential notation.

 1.  

       2.                        

3.  

Page 6: M153 Lecture 1.2 BT

Monomials

Page 7: M153 Lecture 1.2 BT

Anatomy of a Polynomial

coefficient

423 2 xx

Degree = highest exponent

variableconstant term

Page 8: M153 Lecture 1.2 BT

Polynomials

Polynomial Degree

Leading Coefficie

nt

Constant Term

     

     

     

     

Page 9: M153 Lecture 1.2 BT

Adding and Subtracting Polynomials

We can only add/subtract “Like Terms”!Like Terms Not Like Terms

Page 10: M153 Lecture 1.2 BT

Adding and Subtracting Polynomials

Page 11: M153 Lecture 1.2 BT

Adding and Subtracting Polynomials

Page 12: M153 Lecture 1.2 BT

Multiplying Polynomials

Use the Properties of exponents and the Distributive Property

Page 13: M153 Lecture 1.2 BT

Multiplying Polynomials

Find each of the given products.

 

Page 14: M153 Lecture 1.2 BT

Multiplying Polynomials

Find each of the given products.

 

Page 15: M153 Lecture 1.2 BT

Multiplying Polynomials

Page 16: M153 Lecture 1.2 BT

Multiplying Polynomials

Find each of the given products.

 

Page 17: M153 Lecture 1.2 BT

Multiplying Polynomials

Page 18: M153 Lecture 1.2 BT

Applications (Area / Perimeter)

Page 19: M153 Lecture 1.2 BT

Applications (p. 18)

Revenue = (price per item) (number of items) Cost = Fixed Cost + Variable Cost Profit = Revenue – Cost 

Find an expression for the revenue, cost and profit from selling thousand items. Item Price = $8.50 Fixed Costs = $225,000 Variable Costs =

Page 20: M153 Lecture 1.2 BT

Applications (p. 18)

A well-known golfer sells his book Help for Hackers for $13.25 a copy. His fixed costs are $125,000 and he estimates that the variable cost of printing, binding, and distribution are given by dollars. Find expressions for the revenue, cost, and profit from selling -thousand copies of the book.

Page 21: M153 Lecture 1.2 BT

Classwork / Homework

•Page 19 7 – 39 odd•Read Section 1.3•Quiz Tomorrow