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Ch 12: CAHSEE - Quadratics & Polynomials: Help and Review

About This Chapter

The Quadratics & Polynomials chapter of this CAHSEE Math Help and Review course is the simplest way to master quadratics and polynomials. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure students learn the essentials of quadratics and polynomials.

Who's it for?

Anyone who needs help learning or mastering CAHSEE math material will benefit from taking this course. There is no faster or easier way to prepare for the CAHSEE math exam. Among those who would benefit are:

  • Students who have fallen behind in understanding how to factor and solve polynomial equations and inequalities
  • Students who struggle with learning disabilities or learning differences, including autism and ADHD
  • Students who prefer multiple ways of learning math (visual or auditory)
  • Students who have missed class time and need to catch up
  • Students who need an efficient way to learn about quadratics and polynomials
  • Students who struggle to understand their teachers
  • Students who attend schools without extra math learning resources

How it works:

  • Find videos in our course that cover what you need to learn or review.
  • Press play and watch the video lesson.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Verify you're ready by completing the Quadratics & Polynomials chapter exam.

Why it works:

  • Study Efficiently: Skip what you know, review what you don't.
  • Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
  • Be Ready on Test Day: Use the Quadratics & Polynomials chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any quadratics and polynomials question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students will review:

This chapter helps students review the concepts in a quadratics and polynomials unit of a standard high school math course. Topics covered include:

  • Assigning the greatest common factor and multiplication property of zero
  • Using the quadratic formula to solve a quadratic equation
  • Solving quadratics that are not in standard form
  • Solving quadratic inequalities using two binomials
  • Multiplying binomials using FOIL and the area method
  • Factoring quadratic equations using FOIL in reverse
  • Factoring quadratic equations with a non-1 leading coefficient
  • Solving quadratic trinomials by factoring
  • Completing the square
  • Solving a quadratic equation by factoring
  • Dividing polynomials with long division
  • Using synthetic division to divide polynomials

15 Lessons in Chapter 12: CAHSEE - Quadratics & Polynomials: Help and Review
Solving Quadratics: Assigning the Greatest Common Factor and Multiplication Property of Zero

1. Solving Quadratics: Assigning the Greatest Common Factor and Multiplication Property of Zero

When it comes to solving quadratics, we have at our disposal several methods. Watch this video lesson to learn one such method you can use to solve quadratics that don't have a constant term.

How to Use the Quadratic Formula to Solve a Quadratic Equation

2. How to Use the Quadratic Formula to Solve a Quadratic Equation

When solving a quadratic equation by factoring doesn't work, the quadratic formula is here to save the day. Learn what it is and how to use it in this lesson.

How to Solve Quadratics That Are Not in Standard Form

3. How to Solve Quadratics That Are Not in Standard Form

It isn't always the case that your equation will be set up nicely for you to solve. In this lesson, learn how to factor or use the quadratic formula to solve quadratic equations, even when they are not in standard form.

Solving Quadratic Inequalities Using Two Binomials

4. Solving Quadratic Inequalities Using Two Binomials

Watch this video lesson to learn what simple steps you can take to solve quadratic inequalities using two binomials. See how it only requires a few steps to solve quadratic inequalities using this method.

Multiplying Binomials Using FOIL & the Area Method: Practice Problems

5. Multiplying Binomials Using FOIL & the Area Method: Practice Problems

There are a few mistakes that are easy to make when multiplying binomials with FOIL and also a few ways to complicate problems like this, so why not make sure you're brushed up on your skills? You'll also learn a shortcut and how to use the area method to multiply even bigger polynomials.

How to Factor Quadratic Equations: FOIL in Reverse

6. How to Factor Quadratic Equations: FOIL in Reverse

So, you know how to multiply binomials with the FOIL method, but can you do it backwards? That's exactly what factoring is, and it can be pretty tricky. Check out this lesson to learn a method that will allow you to factor quadratic trinomials with a leading coefficient of 1.

Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient

7. Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient

Once you get good at factoring quadratics with 1x squared in the front of the expression, it's time to try ones with numbers other than 1. It will be the same general idea, but there are a few extra steps to learn. Do that here!

Solving Quadratic Trinomials by Factoring

8. Solving Quadratic Trinomials by Factoring

Factoring is a quick and easy way to find the solutions to a quadratic trinomial. Watch this video lesson to learn how you can use this method to solve your quadratics.

How to Complete the Square

9. How to Complete the Square

Completing the square can help you learn where the maximum or minimum of a parabola is. If you're running a business and trying to make some money, it might be a good idea to know how to do this! Find out what I'm talking about here.

Completing the Square Practice Problems

10. Completing the Square Practice Problems

Completing the square is one of the most confusing things you'll be asked to do in an Algebra class. Once you get the general idea, it's best to get in there and actually do a few practice problems to make sure you understand the process. Do that here!

How to Solve a Quadratic Equation by Factoring

11. How to Solve a Quadratic Equation by Factoring

If your favorite video game, 'Furious Fowls,' gave you the quadratic equation for each shot you made, would you be able to solve the equation to make sure every one hit its target? If not, you will after watching this video!

How to Divide Polynomials with Long Division

12. How to Divide Polynomials with Long Division

Arithmetic long division and polynomial long division are very similar. Yes, it's a long process, but once you have the rhythm you will get every problem correct!

How to Use Synthetic Division to Divide Polynomials

13. How to Use Synthetic Division to Divide Polynomials

Synthetic division is a 'short-cut' way of dividing a polynomial by a monomial. You still need to know long division, sorry, but this method is way fun when you're dividing by a monomial!

Dividing Polynomials with Long and Synthetic Division: Practice Problems

14. Dividing Polynomials with Long and Synthetic Division: Practice Problems

Let's look at some more polynomial division problems. We will use long division and synthetic division, but this time we will have a couple of more involved problems. So, get out some paper and a pencil and let's begin!

Operations with Polynomials in Several Variables

15. Operations with Polynomials in Several Variables

In this video lesson, you will learn how to handle and work with polynomials that have more than one variable. This is important because in math you sometimes have to work with several variables at the same time.

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