Ch 8: Graphing and Factoring Quadratic Equations: Help and Review

About This Chapter

The Graphing and Factoring Quadratic Equations chapter of this College Preparatory Mathematics Help and Review course is the simplest way to master the methods for graphing and factoring quadratic equations. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure you learn the essentials of graphing and quadratic equations.

Who's it for?

Anyone who needs help learning or mastering college preparatory math material will benefit from taking this course. You will be able to grasp the subject matter faster, retain critical knowledge longer and earn better grades. You're in the right place if you:

  • Have fallen behind in understanding how to graph and factor quadratic equations.
  • Need an efficient way to learn about graphing and factoring quadratic equations.
  • Learn best with engaging auditory and visual tools.
  • Struggle with learning disabilities or learning differences, including autism and ADHD.
  • Experience difficulty understanding your teachers.
  • Missed class time and need to catch up.
  • Can't access extra math learning resources at school.

How it works:

  • Start at the beginning, or identify the topics that you need help with.
  • Watch and learn from fun videos, reviewing as needed.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Submit questions to one of our instructors for personalized support if you need extra help.
  • Verify you're ready by completing the Graphing and Factoring Quadratic Equations 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 Graphing and Factoring Quadratic Equations chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any relevant question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students will review:

In this chapter, you'll learn the answers to questions including:

  • How do I work with parabolas in standard, intercept and vertex form?
  • How do I use FOIL to multiply binomials?
  • What steps do I follow to factor a quadratic equation?
  • What steps do I follow to complete the square?
  • How do I solve a quadratic inequality by using two binomials?

12 Lessons in Chapter 8: Graphing and Factoring Quadratic Equations: Help and Review
Test your knowledge with a 30-question chapter practice test
What is a Parabola?

1. What is a Parabola?

A parabola is a U shape that is created when a quadratic equation is graphed. Explore the characteristics of parabolas, how they are used in everyday life, and the defining spots of a parabola.

Parabolas in Standard, Intercept, and Vertex Form

2. Parabolas in Standard, Intercept, and Vertex Form

The equation of a parabola can be expressed in three different forms. Explore different kinds of parabolas, and learn about the standard form, the intercept form, and the vertex form of parabola equations.

Multiplying Binomials Using FOIL and the Area Method

3. Multiplying Binomials Using FOIL and the Area Method

The FOIL method and the area method are two ways of multiplying binomials. Explore binomials and learn how to multiply binomials using the FOIL method, the area method, and the claw and face method.

Multiplying Binomials Using FOIL & the Area Method: Practice Problems

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

The FOIL method and area method can both help multiply binomials. See how multiplying terms using the FOIL method simplifies the equation and the area method visualizes the chart through three practice problems.

How to Factor Quadratic Equations: FOIL in Reverse

5. How to Factor Quadratic Equations: FOIL in Reverse

The FOIL method can be used in reverse to identify the standard multiples from a given equation. Discover how factoring quadratic equations using FOIL in reverse applies to multiplying binomials and breaking down equations to simplify quadratic equations.

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

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

Quadratic equations can be factored, even those whose leading coefficient is not '1', by using the product of binomials and isolating the pattern. Learn how to adjust the pattern and factor quadratic equations with non-1 leading coefficients using examples.

How to Complete the Square

7. How to Complete the Square

Squares can be identified and completed by turning a quadratic equation from standard form to vertex form. Learn how the transformation of the form of a quadratic equation is completed, and also how trinomials can be factored to perfect square binomials.

Completing the Square Practice Problems

8. Completing the Square Practice Problems

A quadratic equation in standard form can be turned into one in vertex form by completing the square. Learn the functions of c-values, perfect square binomials, and the standard form of the quadratic equation ins and solve completing-the-square practice problems.

How to Solve a Quadratic Equation by Factoring

9. How to Solve a Quadratic Equation by Factoring

Factoring is a method of solving quadratic equations in which the equation is expressed as a product of two or more factors. Learn how to solve a quadratic equation using the factoring method through the given examples.

How to Use the Quadratic Formula to Solve a Quadratic Equation

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

If a quadratic equation cannot be solved by factoring, the quadratic formula can be used. Learn about the quadratic formula, the standard form of a quadratic equation, and its constants, and find out how to use them in solving quadratic equations.

How to Solve Quadratics That Are Not in Standard Form

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

Quadratic equations that are presented in a non-standard form can be transformed and solved nonetheless. Explore how factoring makes non-standard quadratic equations easier to work with, the zero product property, and the quadratic formula.

Solving Quadratic Inequalities Using Two Binomials

12. Solving Quadratic Inequalities Using Two Binomials

A quadratic inequality is an inequality where you have a quadratic on one side and all the terms on one side. Understand quadratic inequalities and quadratic expressions and explore how to solve such an equation using two binomials.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken
More Exams
There are even more practice exams available in Graphing and Factoring Quadratic Equations: Help and Review.

Earning College Credit

Did you know… We have over 220 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Support