Week 4:

1.  Questions

2.  Tools quiz:  20 minutes:  3×3

3.  Review quiz and 3×3

4.  Make your own..

5.  Equilateral in a box

6.  Where are we:  solve anything?? yes and no
            -any linear equation
           -# of equations = # of variables
           – 4×4?  5×5?

7.  Chapter 2.  2.1  Adding and Subtracting Functions
           a.  Want 2 changes.. ie rental cost and fuel cost
           b.  Graph  Adding functions
           c.  Subtract functions:   miles=cost – rebate -graph
           d.  What is a polynomial?   ax^n, a=real, n is positive int
           e.  monomial, binomial, trinomial:  examples
           f.  f(x) = 2x – 3,  g(x) = x^2 + 4x -5
                  find (f+g)x          (f-g)x          

8.  2.3.  Multiply and Divide Polynomials:
           a.  9 x 5 plot:  add  x feet to length and width -diagram
                     (9 + x) ( 5 + x)   First, Outer,Inner,Last
          b.  Multiply functions:  examples:
          c.  multiply terms with same base:   x^3(x^5)
          d.  (-2a^5)(8b^3)(3a^2b)   mathway
          e.  (x^2 – 3x + 1) ( 3x^2 – 5x + 2)

9.   Probability:    # of successes /  # of possibilities.. 4 jacks
           with and without replacement:     factorials

10.  Review:   f(x) = 3x^2 + 2x – 1    g(x) = 4x – x^2 + 5
                            (2x^4 – 3x^2 + 6) ( x^3 – 4x - 2)

11.  2.4  Scientific Notation
           2.45 x 10^7     3,435,256,527,325
           negative exponents:   .00000000034   5.7 x 10^-5
           a^m/a^n  =   a^(m-n)     examples
           a^0 = 1    definition
           Examples  exercise 2.4 6-20

GRE?  Graph Polynomials

12.  Problem Solving Quiz