Learning Outcomes

Definitions and Vocabulary

Non-Positive Exponents

Polynomials - Multiplication and Division

Multiplication of Polynomials

Division of Polynomials

Solving Fractional Equations

Lesson Summary

This module will explain the functions of monomials from the vocabulary associated with this concept. Learn how to carry out addition, subtraction, multiplication, and division of monomials. You will also learn about the laws of exponents detailing the functions of non-positive exponents.

Greatest Common Factor

Trinomials in Factoring

Sum and Difference of Two Perfect Cubes

Problem Solving Applications

In this module, you will learn how to factor various types of polynomials from the factoring techniques that can be applied in solving equations and inequalities. Also, you will learn how to solve problems using factoring applications.

Laws of Exponents and Factoring in Algebra - Course Assessment

Learn about non-positive exponents in algebra and how to factor polynomials from this free online math course.

Laws of Exponents and Factoring in Algebra

This course provides you with a comprehensive guide to the functions of monomial and non-positive exponents. Explore the commonly used vocabulary of monomials along with the relationship between variable expressions with exponents. This course shows you how fractional equations are solved in algebra. Begin today to improve your numeracy and algebra skills!

This course begins by introducing you to the concept of monomial as an algebraic expression in mathematics. You will learn about the relationship between variables and exponents, along with the multiplication, addition, and division of monomials. You will also learn about the components of a monomial. This course delves into what makes the exponents of a monomial a negative integer or zero. Learn how to simplify the non-positive monomial exponents and what scientific notation is used for in algebra. This course teaches you about the various ways to solve fractional equations. You will also learn how an expression with two or more monomial terms is combined by addition, subtraction, and division. Understand the use of associative and commutative properties in solving monomial equations along with the laws for dividing monomials in mathematics.
Do you know how to find the lowest common denominator (LCD) when solving algebraic equations? This course explains in detail how to multiply both sides of an equation with the lowest common denominator. Understand the functions of the greatest common factor (GCF) as the first step of factoring polynomial equations. The material further explains how to reverse distributive properties in factoring polynomials as well as how to get the difference of two perfect squares using the FOIL (first, outside, inside, last) method. Learn about the combination of factors that can be added together to get the coefficient of the middle term of a polynomial. This course also shows you how exponents are arranged in descending order in polynomial equations. Study how to factor the sum of two perfect cubes as well as the difference between two perfect cubes in the real number system.
Finally, it exposes you to the formula for factoring the sum of two perfect cubes and what it means to factor a polynomial completely. You will be introduced to the procedures involved in factoring a polynomial completely. Learn about the different approaches to the multiplication of polynomials. This course is designed to teach you about the associative, commutative, and distributive properties of multiplying polynomials. On the successful completion of this course, you will be equipped with the requisite knowledge of the laws guiding the multiplication of monomials and polynomials in algebra. You will also be able to differentiate between the composition of a monomial and a polynomial. This course is targeted at students who need help solving algebraic equations. Start today to expand your knowledge on the laws of exponents as well as factoring monomials and polynomial expressions.

600+ Courses from Top Med Schools with Free Certificate & CME Credit

900+ Open University Free Certificates

Harvard and MIT’s $800 Million Mistake: The Triple Failure of 2U, edX, and Axim Collaborative

Harvard Launches Two New Free Certificate Courses

7 Best Climate Change Courses for 2025: Exploring the Science

6 Best Free OCaml Courses for 2025

Learn Something New: 100 Most Popular Courses For December

Duolingo Acqui-hires Music Gaming Studio NextBeat for $34.5 Million

Udacity’s 2021: Year in Review

6,000+ Online Courses from California Community Colleges: A New Search Tool by Class Central

Class Action: 50,000 Seek Payouts, Costing Coursera, Udemy Millions

Learn Something New: 100 Most Popular Courses For November

Udemy Announces Layoffs Without Saying ‘Layoffs’

10 Best Go (Golang) Courses for 2025

30+ Holiday Discounts & Online Learning Deals

OpenAI Academy Review: A Close Look at ChatGPT 101 for Small Businesses

Safeguarding and Reporting

Safeguarding Vulnerable Adults

Impact of Abuse and Trauma

Creating Safe Environments and Policies

Communication, Trust, and Multi-Agency Collaboration

This module will introduce you to various professional safeguarding strategies for protecting children and vulnerable adults. You'll explore the causes and impacts of different forms of abuse and trauma. We'll show you how to create a safe environment for children and vulnerable adults cohesively and protect them from harm.

Safeguarding Children and Vulnerable Adults - Course assessment

Empower yourself to safeguard vulnerable individuals, fostering a secure community with this free online course.

Safeguarding Children and Vulnerable Adults

Have you ever felt a personal calling to make a difference in the lives of others? Have you thought of safeguarding vulnerable individuals? This course explores the various forms of abuse, their immediate and long-term signs and how they impact the lives of vulnerable individuals. Discover how to ensure a safe environment for children and vulnerable adults using collaborative approaches and the fundamental principles of safety and well-being

Topic 1: Introduction to Child Protection

Topic 2: International, Regional and National Legal Framework

Topic 3: Alternative Care and Child Safeguarding

Topic 4 : Monitoring and Evaluation in Child Protection

In this module, you will learn the fundamental concepts, guiding principles, and ethical considerations related to child protection before considering the international, regional, and national legal frameworks. We discuss the current approaches to prevent and respond to child abuse or neglect, including the signs of abuse, neglect, or violence.

Comprehensive Child Protection Training Course - Course Assessment

Learn the skills to prevent and respond to child abuse, neglect, exploitation and violence in this free online course.

Comprehensive Child Protection Training 

This online child protection course equips students with the knowledge and skills to identify, prevent, and respond to child abuse and neglect. You will learn to recognise signs of abuse, understand strategies for prevention and response to violence against children such as INSPIRE, and apply best practices for intervention and support. The course empowers learners to play a critical role in safeguarding children and promoting their well-being.

The Importance of Safe Food Handling - Part 1

The Importance of Safe Food Handling - Part 2

Organized Efforts for Food Safety

The ServSafe Examination

ServSafe Manager Certification - Sample Questions

This module teaches you about the fundamentals of safe food handling and different ways to prevent food contamination. It also talks about the global efforts concerning food safety and the role of the ServSafe certification program. Moreover, you will also be equipped with the essential knowledge to prepare yourself for the ServSafe exam.

Fundamentals of Serving Safe for Food Handlers - Assessment

This course will describe the methods of protecting food from getting contaminated and the basics of the ServSafe exam.

Fundamentals of Serving Safe for Food Handlers

Safe and hygienic food handling is extremely important to prevent contamination and diseases. This holds especially true for the professionals in the culinary sciences and food management field. Through this course, we have emphasized various areas and practices concerned with the safe handling of foods. We have also focused on the global efforts to ensure food safety along with the ServSafe certification and its various aspects.

Topic 1 : WorkSafeBC Regulations

Topic 2 : Responsibilities of Employers and Workers

Topic 3 : Handle Hazardous Materials Safely

Topic 4: Information to Be Disclosed on an SDS

Topic 5: WHMIS Education and Training

Workplace Hazards and WHMIS: A Guide to Safety and Legal Duties - Assessment

This free online course covers the laws and rules that must be complied with to guarantee safe and healthy workplaces.

Workplace Hazards and WHMIS: A Guide to Safety and Legal Duties

Are you aware of the laws protecting you from hazardous substances at work? This course covers essential regulations, including the Workers' Compensation Act, WorkSafeBC policies, and the Workplace Hazardous Materials Information System (WHMIS). Learn about employer and worker responsibilities, safe handling of hazardous materials, and the must-know guidelines that keep workplaces safe. Gain critical knowledge to protect yourself and others.

Introduction to Epilepsy

Diagnosing and Classifying Epilepsy with EEG

This module will demonstrate how to run simulations of six neurophysiological phenomena using simulation software known as MetaNeruon. It will also discuss the neurological conditions underlying epilepsy and how to use an EEG to diagnose this mental disorder.

Understanding Epilepsy - Course Assessment

This free online course takes you through the symptoms, classifications, diagnosis and treatment of epilepsy.

Understanding Epilepsy

Most of the world’s roughly 50 million epileptics do not have access to treatment, medical attention or even information about their neurological disorder. This free online course identifies who is most susceptible to epilepsy and explains its causes and symptoms. We then examine the available tools for diagnosis and treatment and demonstrate the use of the electroencephalogram (EEG) to detect this long-misunderstood condition.

Understanding Defensive Driving Principles

Vehicle Dynamics and Handling

Defensive Observation and Safe Following Distance

Traffic Laws, Regulations and Vehicle Maintenance

In this module, you’ll be introduced to the key concepts of defensive driving and its benefits. We emphasize the importance of anticipating potential hazards and making proactive decisions to avoid accidents. We show you how to use headlights correctly, avoid driving in blind spots, maintain a safe following distance and more.

Defensive Driving in Adverse Weather and Nighttime

Managing Space and Visibility

Defensive Driving in Different Environments

Managing Driver Fatigue and Distractions

In this module, you’ll learn about vehicle dynamics and handling. We discuss the role of weight distribution, suspension, speed, and vehicle design in affecting stability. We also provide some basic and advanced braking techniques, such as gradual braking, threshold braking, engine braking, and more.

Handling Emergency Situations

Crash Avoidance Maneuvers

Post-Crash Procedures and First Aid

In this module, you’ll gain insights into emergency braking, types of braking systems, and adapting techniques to varied road conditions. You’ll learn about the types of skids and their effective control measures. We show you how to communicate effectively with emergency services and administer basic first aid and cardiopulmonary resuscitation.

Comprehensive Guide to Defensive Driving - Assessment

Equip yourself with the skills and techniques to avoid accidents and stay safe on the road with this free online course.

Comprehensive Guide to Defensive Driving

Driving is an essential aspect of our lives but carries various risks. Defensive driving is, therefore, essential for ensuring road safety while driving. This course aims to enhance your driving skills and minimize the chances of accidents by providing guidance on observing road conditions, anticipating dangers, maintaining vehicle control and more. Are you ready to become a safer driver? Enrol now and learn for free!

Introduction to Domestic Violence and Abuse

The Components of Domestic Violence

Domestic Violence on Victims

Domestic Violence and Abuse on Children

Risks of Domestic Violence and Abuses on Children

Supporting the Victim and Reporting Incidents

This module will give you a broader understanding of domestic abuse and violence. We look at the signs of abuse in a relationship, the cycle of abuse and patterns of behaviour and the Duluth Model. This module briefly looks at the impact of domestic abuse on children as well as how to recognise and help victims of domestic abuse and violence.

Course Assessment

In this free online course, learn about identifying and reporting domestic violence and abuse in children and adults.

Fundamentals of Domestic Violence and Abuse

Domestic violence is common and many adults and children experience some sort in their lifetime. This course examines how to report abuse and explores the signs of abuse in a relationship. We will discuss different types and what to do if you suspect that a child is being abused. You will also learn how to help adults and children affected by domestic violence. Additionally, you will know how to report an incident in confidence.