5/29/07
(Tu)

Chapter 4.1 - Real zeros of a polynomial function

• use remainder and factor theorem.
• use Descarte's rule of signs to find possible number of positive and negative solutions.
• use rational zeros theorem to list potential rational zeros and find the real zeros
• solve polynomial equations
• find upper and lower bounds
• use the Intermediate Value Theorem

Assignment 4.1.1 / 1, 6, 9, 13, 16, 19, 22, 25, 28, 31, 34, 35, 38, 39, 41, 44, 47 (All work should be without a calculator.) 50, 56, 59, 62, 68, 78, (Find all possible zeros, Only 59 and 62 require a calculator)

Warmup 4.1
Given f(x) = 2x³ + 31x² +11x - 60

1. find the possible rational roots (p/q values)
2. find the possible # of positive and negative roots
3. find the bound using the bounds theorem
4. graph f(x)
5. use the graph to factor f(x)

Chapter 4.3 - Complex Zeros

• use conjugate pairs theorem to find complex zeros
• find a polynomial with specified zeros
• find complex zeros of a polynomial

Assignment 4.3 / 1, 5, 9, 13, 16, 17, 20, 23, 25, 28, 31, 34-36

5/31/07
(Th)

Warmup 4.3

1. 1+3i is a zero of f(x) = x⁴-7x³+14x²-38x-60. Find the remaining zeros.
2. Find all zeros of g(x) = 3x⁴-x³-9x²+159x-52

Chapter 4.4 - Polynomial and Rational Inequalities

• Solve polynomial inequalities graphically and algebraically
• solve rational inequalities graphically and algebraically

Assignment 4.4/1, 6, 11, 16, 21, 26, 31, 36, 39, 42, 45, 48, 51, 54, 57, 59, 62

6/1/07
(Fr)

Warmup 4.4

Chapter 4 Review and Start Chapter 5

Chapter 4 Test - Key A, Key B