Polynomials; Your Complete Guide
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Polynomials; Your Complete Guide

From solving to graphing to writing the polynomial function given zeros you will learn everything you need to know.
5.0 (2 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
38 students enrolled
Created by Brian McLogan
Last updated 4/2017
English
Curiosity Sale
Current price: $10 Original price: $30 Discount: 67% off
30-Day Money-Back Guarantee
Includes:
  • 6.5 hours on-demand video
  • 20 Articles
  • 14 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • Determine End Behavior of Polynomials
  • Add, Subtract, Multiply and Divide Polynomials
  • Solve polynomials by factoring and applying synthetic division
  • Graphing polynomials and identifying the extrema
  • Writing the equation of a polynomial given rational, irrational and imaginary roots
  • Bonus: Simplifying Expressions using the rules of exponents
View Curriculum
Requirements
  • Brush up on basic Algebra skills
  • Brush up on basic Graphing skills
  • Brush up on basic Arithmetic skills
Description

Inside this course you will gain access to over 130 problems worked out step by step, over 100 extra practice problems with solutions provided and over 15 quizzes to test your skills until you achieve 100% mastery. Also provided are detailed videos explaining each concept, process and essential definition.

Learning about polynomials can be tough.  Once you feel you mastered one type of problem you get stumped on the next.  This course is structured to not leave you behind in the dust.  I start off each section with basic definitions and processes you will need to know moving through the course.  I then present two types of videos to you for each skill.  First is the overview video where I explain the concept as a whole like a typical lecture in a classroom.  I then work through multiple examples showing you step by step how to complete different types of problems.  We both know watching someone do math is not the best way to learn.  You have to practice! Each section you are provided with multiple worksheets to practice your skills as well as the answer to check your answers.  Revert back to videos if you get stuck and forget how to solve the problems.  Once you feel you have a good grasp of your understanding it is time to take your quiz. There are multiple quizzes provided for each section. Take the quizzes as many times as you need to earn 100%.  There is no pressure you are hear to learn. By taking this course you will not only gain a better understanding of polynomials but you will gain confidence to solve more problems on your own. That is why I created this course. I want students to no longer fear learning math or walking into their math class because they just don't understand.  Everyone can learn math.  Some it just takes a little longer, some just need a little boast and some need a course like I designed to guide them through the material. Heck once you complete this course, show your teacher! You deserve and A.  I am here for you and by joining this course you are now one of my students just as important to me as the 140 students I teach in the classroom during the school year. So please keep in touch, let me know how I am doing and if there is anything extra I can provide to assist you with your learning of polynomials.

Who is the target audience?
  • Students taking Algebra 2
  • Students taking Pre-Calculus
  • Students taking College Algebra
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Curriculum For This Course
66 Lectures
06:40:23
+
Course Welcome Video
2 Lectures 06:41

In this video I tell you a little about the course, a little about me and a little about what you can expect.

Preview 02:11

+
Bonus: Rules of Exponents
10 Lectures 38:07

In this video we will explore the power rule of exponents

Preview 05:16

Take the quiz to test your skills

Quiz - Simplifying Expressions using the Product Rule
00:08

In this lesson we will explore the quotient rule of exponents

Preview 05:56

Take the quiz to test your skills

Quiz - Simplifying Expressions Using the Quotient Rule
00:08

Simplify exponents using the power rule

Preview 08:38

Take the quiz to test your skills

Quiz - Simplifying Expressions using the Power Rule
00:07

Exponents with a negative power

Examples for simplifying Exponents with a negative power
07:28

Take the quiz to test your skills

Quiz - Simplifying Expressions with Negative Exponents
00:06

All the rules of exponents

Examples for simplifying Expressions using all the rules of exponents
06:55
+
Introduction into polynomials
8 Lectures 27:53

In this lesson we will explore how to determine if we have a polynomial or not.

Examples for determining if it is a polynomial or not
04:37

Take the quiz to test your skills

Quiz - Determine if a polynomial or not
00:08

What is the degree and leading coefficient of a polynomial?
04:22

In this lesson we will learn how to identify the leading coefficient and degree of a polynomial

Examples for determining the degree and leading coefficient
07:11

Take the quiz to test your skills

Quiz - Determine the Leading Coefficient and Degree
00:09

How do we determine end behavior?
03:32

In this video we will learn how to determine end behavior or a polynomial.

Examples for determining the end behavior using the leading coefficient test
07:46

Take the quiz to test your skills

Quiz - Determining End Behavior
00:07
+
Operations of polynomials
17 Lectures 01:34:19
How do we add and subtract polynomials?
06:09

Add and Subtract Polynomials

Examples for adding and Subtracting Polynomials
14:00

Take the quiz to test your skills

Quiz - Adding and Subtracting Polynomials
00:06

How do we multiply polynomials?
04:13

Multiply polynomials

Examples for multiplying Polynomials GCF
05:22

Take the quiz to test your skills

Quiz - Multiplying Polynomials by a Monomial
00:06

Multiply polynomials

Examples for multiplying Binomials
05:57

Take the quiz to test your skills

Quiz - Multiplying Binomials
00:06

Multiplying Polynomails

Examples for multiplying Polynomials
08:04

Take the quiz to test your skills

Quiz - Multiplying Polynomials
00:05

How do you divide polynomials using long division?
03:41

Dividing Polynomials

Examples for Dividing two polynomials using long division
12:52

Dividing polynomials

Examples for dividing two polynomials using long division with a missing term
17:15

Take the quiz to test your skills

Quiz - Dividing Polynomials by Long Division
00:07

How do you divide using synthetic division?
04:33

Dividing polynomials

Examples for dividing two polynomials using synthetic division
11:31

Take the quiz to test your skills

Quiz - Dividing Polynomials by Synthetic Division
00:10
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Factoring Polynomials
6 Lectures 40:54
How do you factor a polynomial?
04:25

Factoring Polynomials

Factoring Higher Order Polynomials using perfect square trinomials
09:19

Factoring Polynomials

Factoring difference of two cubes
07:47

Factoring Polynomials

Factoring Higher Order Polynomials
13:35

Factoring Polynomials

Factoring Polynomials by grouping
05:40

Take the quiz to test your skills

Quiz - Factoring Higher Order Polynomials
00:08
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Graphing Polynomials
3 Lectures 28:42

Graphing Polynomials

Graphing Polynomials in factored form
10:26

Graphing Polynomials

Examples for graphing a polynomial without a calculator
18:09

Take the quiz to test your skills

Quiz - Graphing Polynomials in Factored form
00:07
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Zeros of Polynomials
16 Lectures 02:10:11
What are the zeros of a polynomial?
03:44

What is multiplicity?
04:15

Zeros of Polynomials

Examples for determining all of the zeros using the zero product property
10:37

Take the quiz to test your skills

Quiz - Zeros and Multiplicity in Factored Form
00:07

Zeros of polynomials

Examples for determining the zeros and multiplicity by factoring
19:43

Test your skills

Quiz - Determine all the zeros by factoring
00:08

Zeros of Polynomials

Examples for determining all the possible zeros using the rational zero test
08:05

Quiz - Determine the possible zeros using the Rational Zero Test
00:09

Zeros of polynomials

Examples for determining all of the solutions using synthetic division
21:58

Zeros of polynomials

Examples for Determining all the zeros of a polynomial without a calculator
13:12

Zeros of polynomials

Examples for Determining all of the zeros given a root, solution or x-intercept
13:17

zeros of polynomials

How to find the remaining zeros of a polynomial given one irrational zero
06:44

Zeros of polynomials

How to find the remaining zeros of a polynomial given two irrational zeros
09:45

Zeros of polynomials

Examples for finding all of the remaining zeros given two imaginary zeros
09:02

zeros of polynomials

Examples for finding the remaining zeros given two complex zeros
09:14

Quiz - Determine the remaining zeros given one factor or zero
00:09
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Writing the equation of a polynomial
4 Lectures 35:06

writing the equation of a polynomial

Examples for writing the equation of a polynomial given rational zeros
11:01

writing the equation of a polynomial

Examples for writing the equation given irrational zeros
11:05

writing the equation of a polynomial

Examples for writing the equation of a polynomial given complex zeros
12:53

Quiz - Writing the equation of a polynomial given zeros
00:07
About the Instructor
Brian McLogan
4.5 Average rating
32 Reviews
882 Students
8 Courses
Current Active High School Math Teacher

I am a high school that is on a mission to improve math education. I was that student that sat in the back of class frustrated with the boredom of class and the lack of understanding. I made the decision to become a math teacher to make a difference in others lives. I knew that with the struggles I had I could relate well to students that struggled with math. With a weak math background I set out to get a degree in mathematics. In was a difficult journey and I worked very hard not just to pass my math classes but to have an understanding of what I was doing. I learned a lot about myself, mathematics and what it takes to be successful in class through my time at college. I want to pass along my experience to you the student so that may have your own success with mathematics.