Chapter 3 Polynomials and Rationals

Video 1: Average Rate of Change Part I(11:22)

Video 2: Average Rate of Change Part II(4:44)

Homework # 1 Page 121; # 1 Page 123; # 29(a-c), 31(a-c)

Video 3: Difference Quotient Part I(16:13)

Video 4: Difference Quotient Part II (9:45)

Homework # 2 Page 123-124; # 61(a-c), 63(a-c), 67

Video 5: Polynomials Part I(18:55)

Video 6: Relative Maximums Minimums(4:09)

Video 7: Increasing and Decreasing Intervals(4:13)

Video 8: Polynomials Part II(19:40)

Video 9: Polynomials Part III(7:51)

Video 10: Polynomials Part IV(6:40)

Homework # 3 Page 121; # 4, 5 Page 210; # 4 - 6 Page 211-212; # 17*, 25, 47^

* expand your final answer

^ complete as done in the video(x-int, y-int, ebm, # turning points, min, max, inc, dec

Video 11: Polynomials Part VI(10:54)

Homework # 4 Page 212; # 68*

*expand your answer completely and determine the value of “a”

Homework # 5 Quiz # 1 Review

Quiz # 1 Calculator

Video 12: Long Division of Polynomials (13:04)

Homework # 6 Page 1028; # 13*, 19*

*Find the quotient and remainder

Video 13: Remainder Theorem(5:43)

Video 14: Remainder Theorem, Factor Theorem and Rational Root Theorem (19:50)

At 17:22, I said there were 18 Possible Rational Roots where there is only 16

Video 15: Synthetic Division (14:10)

Video 16: Types of Numbers (14:57)

Video 17: Roots of a Polynomial(9:02)

Homework # 7 Page 257-258; # 3”, 17, 33*, 43*

“Bottom of Page

* Complete problem as done on the video, rational root theorem, remainder theorem, synthetic division, find remaining roots, classify the roots

Video 18: Intermediate Value Theorem(7:53)

Video 19: Intermediate Value Theorem and More(12:58)

At 5:45, according to the graph f(-5) was -318 however it should be -316.

Homework # 8 Page 257 4-6” Page 258; # 53*, 63^, 71, 73, 75

“Top of Page

* Complete problem as done on the video, rational root theorem, remainder theorem, synthetic division, find remaining roots, classify the roots,

^Use the Intermediate Value Theorem as done in the video

Video 20: Conjugate Pairs(In the last example, the final answer should be -8x cubed not -16x cubed.)(9:39)

Video 21: Synthetic Division with Complex Numbers(6:36)

At 3:02 I said -27-26i but write -27-2i. I should have written -27 - 26i.

Homework # 9 Page 264; # 13*, 21^

*expand your answer completely

^complete all applicable synthetic division, find all other roots and classify each

Video 22: Finding Roots of a Polynomial(6:08)

Video 23: Real Polynomial with Complex Roots(6:02)

Homework # 10 Page 263; # 3-5 Page 264; # 31*, 35

(* Complete problem as done on the video, rational root theorem, remainder theorem, synthetic division, find remaining roots, classify the roots)

Homework # 11 Quiz # 2 Review

Quiz # 2 Calculator

Video 24: Introduction to Even and Odd Functions(12:24)

Video 25: Even and Odd Functions using Function Notation(5:41)

Video 26: Introduction to Symmetry to the x-axis, y-axis and origin(6:46)

Video 27: Symmetry to the x-axis, y-axis, and origin examples(10:35)

Homework # 12 Worksheet

Notes to be completed in class(Rational Functions)

Homework # 13 Page 225; # 17, 36*, 38*, 44*, 47

* No need to verify with calculator

Homework # 14 Worksheet

Homework # 15 Quiz # 3 Worksheet

Quiz # 3

Homework # 16 Worksheet

Homework # 17 Worksheet

Homework # 18 Worksheet

Homework # 19 Worksheet

Homework # 20 Quiz # 3 Review Worksheet

Quiz # 3 Calculator

Video 28: Polynomial Inequalities (11:17)

Homework # 21 Page 242; # 1-3 Page 243; # 10*, 21*, 23*, 25*, 33*

*No need to verify with a graphing calculator

Video 29: Rational Inequalities (12:55)

Homework # 22 Page 243; # 41*, 43*, 47*, 49*

*No need to verify with a graphing calculator

Video 30: Watch and Learn: Introduction to Partial Fractions* (19:35)

(*Disregard the elongated S in front of the fractions and reference to Integration)

Video 31: Partial Fractions Part I(6:22)

Video 32: Partial Fractions Part II (10:31)

*At 8:31 I said 9 equals when I meant to say 19 equals...

Video 33: Partial Fractions Part III (3:40)

Video 34: Partial Fractions Part IV (6:19)

Video 35: Partial Fractions Part V (8:37)

Video 36: Partial Fractions Part VI(6:16)

Homework # 23 Worksheet

Homework # 24 Quiz Review # 4

Quiz # 4 No Calculator

Homework # 25 Test Review

Test Calculator