Polynomials zambak
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Polynomials zambak
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61
Chapter 1. Polynomials
Theory
Page 10
1. Polynomials
Theory
Page 10
1A. Introduction to Polynomials
Theory
Page 10
1B. Polynomial Functions
Theory
Page 13
1C. Equality of Two Polynomials
Theory
Page 19
Exercises 1.1
Problem
Page 21
2. Operations on Polynomials
Theory
Page 23
2A. Adding Polynomials
Theory
Page 23
2B. Subtracting Polynomials
Theory
Page 23
2C. Multiplying Polynomials
Theory
Page 24
2D. Dividing Polynomials
Theory
Page 27
2D1. Dividing a Polynomial by a Monomial
Theory
Page 27
2D2. Dividing Two Binomials
Theory
Page 28
2D3. Synthetic Division, Horner's Method
Theory
Page 29
2D3a. Dividing by x − c
Theory
Page 30
2D3b. Dividing by ax + b
Theory
Page 30
2D4. Finding the Remainder
Theory
Page 31
2D5. Finding the Remainder of Division by xⁿ + a
Theory
Page 34
Exercises 1.2
Problem
Page 36
Chapter Summary
Theory
Page 38
Concept Check
Test
Page 38
Chapter Review Test 1A
Test
Page 39
Chapter Review Test 1B
Test
Page 41
Chapter 2. Factorization
Theory
Page 44
1. Factoring Polynomials
Theory
Page 44
1A. Introduction to Factoring
Theory
Page 44
1B. Greatest Common Factor and Least Common Multiple of Polynomials
Theory
Page 44
1C. Factoring Methods
Theory
Page 46
1C1. Isolating a Common Factor
Theory
Page 46
1C2. Grouping
Theory
Page 47
1C3. Factoring by Identities
Theory
Page 48
1C3a. Squaring a Binomial
Theory
Page 51
1C3b. Factoring a Perfect Square Trinomial
Theory
Page 53
1C3c. Squaring a Trinomial
Theory
Page 54
1C3d. Difference of Two Squares
Theory
Page 55
1C3e. Cube of a Binomial
Theory
Page 56
1C3f. Sum or Difference of Two Cubes
Theory
Page 58
1C4. Factoring Quadratic Polynomials
Theory
Page 59
1C4a. Factoring Trinomials of the Form x² + bx + c
Theory
Page 59
1C4b. Factoring Trinomials of the Form ax² + bx + c
Theory
Page 60
1C5. Completing the Square
Theory
Page 62
1C6. Factoring Binomials of the Form aⁿ ± bⁿ
Theory
Page 63
Exercises 2.1
Problem
Page 68
2. Rational Expressions and Equations
Theory
Page 71
2A. Rational Expressions
Theory
Page 71
2A1. Simplifying Rational Expressions
Theory
Page 71
2A2. Operations on Rational Expressions
Theory
Page 73
2A2a. Multiplying Rational Expressions
Theory
Page 73
2A2b. Dividing Rational Expressions
Theory
Page 74
2A2c. Adding and Subtracting Rational Expressions
Theory
Page 75
2B. Polynomial Equations and Rational Equations
Theory
Page 76
2B1. Polynomial Equations
Theory
Page 76
2B2. Rational Equations
Theory
Page 78
2B3. Partial Fractions
Theory
Page 80
Exercises 2.2
Problem
Page 84
Chapter Summary
Theory
Page 86
Concept Check
Test
Page 86
Chapter Review Test 2A
Test
Page 87
Chapter Review Test 2B
Test
Page 89
Answers
Answer
Page 91
Glossary
Other
Page 94
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