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Workbook 16

Chapter 1: Introduction to Polynomials

PDF

Objectives

Define a monomial

• Reference: Monomial - Wikipedia

Define and understand a polynomial

• Video: Introduction to Polynomials - YouTube
• Video: Polynomials intro | Mathematics II | High School Math | Khan Academy - YouTube
• Video: Algebra Basics: What Are Polynomials? - Math Antics - YouTube
• Video: Polynomials - Classifying Monomials, Binomials & Trinomials - Degree & Leading Coefficient - YouTube
• Reference: Polynomial - Wikipedia
• Reference: Khan Academy

Prerequisites

• Understand and define a function, and its domains/ranges. Differentiate from relations. Be able to use functions to find their input/outputs. from Chapter 4: "Functions and Their Graphs" in Workbook 05

Chapter 2: Python Lists

PDF

Objectives

Understand how to use python lists and modify their contents

• Video: Introduction To Lists In Python (Python Tutorial #4) - YouTube
• Video: Python lists, sets, and tuples explained 🍍 - YouTube
• Reference: Array (data type) - Wikipedia

Prerequisites

• Define and understand a polynomial from Chapter 1: "Introduction to Polynomials" in Workbook 16

Chapter 3: Adding and Subtracting Polynomials

PDF

Objectives

Be able to add and subtract polynomials

• Video: Example 2: Adding polynomials | Algebra I | Khan Academy - YouTube
• Video: Adding and subtracting polynomials | Algebra Basics | Khan Academy - YouTube
• Video: How do we add and subtract polynomials - YouTube
• Video: Example 3: Subtracting polynomials | Algebra I | Khan Academy - YouTube
• Video: Polynomials - Adding, Subtracting, Multiplying and Dividing Algebraic Expressions - YouTube
• Video: Example 4: Adding and subtracting polynomials | Algebra Basics | Khan Academy - YouTube
• Video: Example 5: Adding polynomials with two variables | Algebra I | Khan Academy - YouTube
• Video: More examples of addition and subtraction of polynomials | Algebra II | Khan Academy - YouTube
• Reference: Adding and Subtracting Polynomials
• Reference: Khan Academy

Prerequisites

• Define and understand a polynomial from Chapter 1: "Introduction to Polynomials" in Workbook 16
• Understand how to use python lists and modify their contents from Chapter 2: "Python Lists" in Workbook 16

Chapter 4: Multiplying Polynomials

PDF

Objectives

Be able to multiply monomials be each other, and a monomial by a polynomial

• Video: Multiplying monomials | Polynomial arithmetic | Algebra 2 | Khan Academy - YouTube
• Video: Multiplying monomials | Algebra I | Khan Academy - YouTube
• Video: Example 3: Multiplying a monomial by a polynomial | Algebra I | Khan Academy - YouTube
• Reference: Multiplying Monomial - Rules, Method and Examples.

Understand how to multiply polynomials

• Video: Multiplying binomials and polynomials | Algebra Basics | Khan Academy - YouTube
• Video: Polynomials - Adding, Subtracting, Multiplying and Dividing Algebraic Expressions - YouTube
• Video: How To Multiply a Binomial to a Trinomial - Math Tutorial - YouTube
• Reference: 5.4: Multiplying Polynomials - Mathematics LibreTexts

Understand the concept of FOIL

• Video: Foil Method Algebra, Binomials, Trinomials, Polynomials, Multiplication With Exponents - YouTube
• Video: The FOIL Method | Easiest way to Multiply Polynomials | Algebra - YouTube
• Video: Multiplying Binomials by the FOIL Method - YouTube
• Reference: FOIL method - Wikipedia

Prerequisites

• Define and understand a polynomial from Chapter 1: "Introduction to Polynomials" in Workbook 16
• Define a monomial from Chapter 1: "Introduction to Polynomials" in Workbook 16

Chapter 5: Multiplying Polynomials in Python

PDF

Prerequisites

• Be able to multiply monomials be each other, and a monomial by a polynomial from Chapter 4: "Multiplying Polynomials" in Workbook 16
• Understand how to multiply polynomials from Chapter 4: "Multiplying Polynomials" in Workbook 16

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