Polynomials; Your Complete Guide

From solving to graphing to writing the polynomial function given zeros you will learn everything you need to know.

4.50 (29 reviews)
Udemy
platform
English
language
Math
category
instructor
Polynomials; Your Complete Guide
310
students
6.5 hours
content
Jan 2020
last update
$49.99
regular price

What you will 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

Why take this course?

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.

Content

Bonus: Rules of Exponents

What are the properties of exponents?
Examples of simplifying an expression using the product rule of exponents
Quiz - Simplifying Expressions using the Product Rule
Examples of simplifying an expression using the quotient rule of exponents
Quiz - Simplifying Expressions Using the Quotient Rule
Examples for Simplifying Exponents using power rule
Quiz - Simplifying Expressions using the Power Rule
Examples for simplifying Exponents with a negative power
Quiz - Simplifying Expressions with Negative Exponents
Examples for simplifying Expressions using all the rules of exponents

Introduction into polynomials

Examples for determining if it is a polynomial or not
Quiz - Determine if a polynomial or not
What is the degree and leading coefficient of a polynomial?
Examples for determining the degree and leading coefficient
Quiz - Determine the Leading Coefficient and Degree
How do we determine end behavior?
Examples for determining the end behavior using the leading coefficient test
Quiz - Determining End Behavior

Operations of polynomials

How do we add and subtract polynomials?
Examples for adding and Subtracting Polynomials
Quiz - Adding and Subtracting Polynomials
How do we multiply polynomials?
Examples for multiplying Polynomials GCF
Quiz - Multiplying Polynomials by a Monomial
Examples for multiplying Binomials
Quiz - Multiplying Binomials
Examples for multiplying Polynomials
Quiz - Multiplying Polynomials
How do you divide polynomials using long division?
Examples for Dividing two polynomials using long division
Examples for dividing two polynomials using long division with a missing term
Quiz - Dividing Polynomials by Long Division
How do you divide using synthetic division?
Examples for dividing two polynomials using synthetic division
Quiz - Dividing Polynomials by Synthetic Division

Factoring Polynomials

How do you factor a polynomial?
Factoring Higher Order Polynomials using perfect square trinomials
Factoring difference of two cubes
Factoring Higher Order Polynomials
Factoring Polynomials by grouping
Quiz - Factoring Higher Order Polynomials

Graphing Polynomials

Graphing Polynomials in factored form
Examples for graphing a polynomial without a calculator
Quiz - Graphing Polynomials in Factored form

Zeros of Polynomials

What are the zeros of a polynomial?
What is multiplicity?
Examples for determining all of the zeros using the zero product property
Quiz - Zeros and Multiplicity in Factored Form
Examples for determining the zeros and multiplicity by factoring
Quiz - Determine all the zeros by factoring
Examples for determining all the possible zeros using the rational zero test
Quiz - Determine the possible zeros using the Rational Zero Test
Examples for determining all of the solutions using synthetic division
Examples for Determining all the zeros of a polynomial without a calculator
Examples for Determining all of the zeros given a root, solution or x-intercept
How to find the remaining zeros of a polynomial given one irrational zero
How to find the remaining zeros of a polynomial given two irrational zeros
Examples for finding all of the remaining zeros given two imaginary zeros
Examples for finding the remaining zeros given two complex zeros
Quiz - Determine the remaining zeros given one factor or zero

Writing the equation of a polynomial

Examples for writing the equation of a polynomial given rational zeros
Examples for writing the equation given irrational zeros
Examples for writing the equation of a polynomial given complex zeros
Quiz - Writing the equation of a polynomial given zeros

Reviews

Sergio
October 10, 2018
Nice explanations, with plenty of examples, at a good pace and level of detail. Unfortunately, many test answers are wrong. I would give the course 5 stars otherwise.

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Related Topics

917814
udemy ID
7/29/2016
course created date
2/8/2020
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