33
MathB65 Ch 4 I,II, III .notebook 1 October 22, 2017 Chapter 4: Polynomials I. Exponents & Their Properties II. Negative Exponents III. Scientific Notation IV. Polynomials V. Addition & Subtraction of Polynomials VI. Multiplication of Polynomials VII. Greatest Common Factor (GCF) VIII. Factoring Trinomials IX. Solving Quadratic Equations by Factoring

Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

Embed Size (px)

Citation preview

Page 1: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

1

October 22, 2017

Chapter 4: PolynomialsI. Exponents & Their PropertiesII. Negative Exponents III. Scientific NotationIV. PolynomialsV. Addition & Subtraction of PolynomialsVI. Multiplication of PolynomialsVII. Greatest Common Factor (GCF)VIII. Factoring Trinomials IX. Solving Quadratic Equations by Factoring

Page 2: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

2

October 22, 2017

Page 3: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

3

October 22, 2017

Page 4: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

4

October 22, 2017

Page 5: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

5

October 22, 2017

Page 6: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

6

October 22, 2017

Page 7: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

7

October 22, 2017

Page 8: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

8

October 22, 2017

Page 9: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

9

October 22, 2017

Page 10: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

10

October 22, 2017

Page 11: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

11

October 22, 2017

Page 12: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

12

October 22, 2017

Page 13: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

13

October 22, 2017

Page 14: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

14

October 22, 2017

Page 15: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

15

October 22, 2017

Exponent of 1

Exponent of 0

Product Rule

Quotient Rule

Power Rule

Product to a Power

Quotient to a Power

Page 16: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

16

October 22, 2017

Page 17: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

17

October 22, 2017

Page 18: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

18

October 22, 2017

Page 19: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

19

October 22, 2017

Page 20: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

20

October 22, 2017

Page 21: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

21

October 22, 2017

Page 22: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

22

October 22, 2017

Page 23: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

23

October 22, 2017

Scientific notation is extremely convenient when discussing really

Page 24: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

24

October 22, 2017

Page 25: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

25

October 22, 2017

Page 26: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

26

October 22, 2017

Page 27: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

27

October 22, 2017

Homework Chapter 4Part I: Exponents & Their PropertiesSimplify the following Expressions

Page 28: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

28

October 22, 2017

Part II: Negative ExponentsSimplify the following expressions. Your final answer should NOT include negative exponents.

Part III: Scientific NotationMultiply or divide as appropriate. Write final answer in scientific notation.

Page 29: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

29

October 22, 2017

Part IV: PolynomialsFor each polynomial below (a) classify it as a monomial, binomial, trinomial, or a polynomial with no special name; (b) give the degree of the polynomial; (c) determine the leading term and leading coefficient.

Part V: Addition & Subtraction of PolynomialsAdd or Subtract as appropriate

Page 30: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

30

October 22, 2017

Part VI: Multiplication of PolynomialsMultiply the following polynomials

Page 31: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

31

October 22, 2017

Part VII: Greatest Common Factor (GCF)Factor out the GCF from each of the following polynomials

Factor the following polynomials by grouping (if possible)

Page 32: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

32

October 22, 2017

Part VIII: Factoring Trinomials

Factor the following trinomials. If it is not possible to factor the trinomial

then state that it is prime

Page 33: Chapter 4: Polynomials - Bakersfield College 4 I, II, III.pdf · Chapter 4: Polynomials I. Exponents & Their Properties ... Scientific Notation IV. Polynomials V. Addition & Subtraction

MathB65 Ch 4 I,II, III .notebook

33

October 22, 2017

Part IX: Solving Quadratic Equations by FactoringSolve the following equations by factoring