# Ch 17: High School Algebra - Graphing and Factoring Quadratic Equations: Tutoring Solution

### About This Chapter

## How it works:

- Begin your assignment or other high school algebra I work.
- Identify the graphing and factoring quadratic equations concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our high school algebra I tutoring solution will benefit any student who is trying to learn how to graph and factor quadratic equations and earn better grades. This resource can help students including those who:

- Struggle with understanding how to use tables and scatterplots, multiply binomials using FOIL, factor quadratic equations, complete the square or any other graphing and factoring quadratic equations topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning math visually
- Find themselves failing or close to failing their graphing and factoring quadratic equations unit
- Cope with ADD or ADHD
- Want to get ahead in high school algebra I
- Don't have access to their math teacher outside of class

## Why it works:

**Engaging Tutors:**We make learning how to graph and factor quadratic equations simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live high school algebra I tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn how to graph and factor quadratic equations on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning Objectives

- Understand the purpose of using tables and graphs.
- Describe the uses of scatterplots and line graphs.
- Define parabolas.
- Identify the three forms of parabolas.
- Use FOIL and the area method to multiply binomials.
- Learn how to factor quadratic equations.
- Factor quadratic equations that have a non-1 leading coefficient.
- Solve quadratic trinomials by factoring.
- Understand how to complete the square.
- Use factoring to solve quadratic equations.

### 1. Using Tables and Graphs in the Real World

We use tables and graphs in algebra as ways to visually show an equation or function. But do we really use these in the real world? Is it that important to learn about tables and graphs? Find out in this video lesson.

### 2. Scatterplots and Line Graphs: Definitions and Uses

After watching this video, you will be able to understand scatter plots and line graphs. You will also be able to use them to tell people a story about what you see and observe. You will also be able to read them.

### 3. What is a Parabola?

A parabola is the U shape that we get when we graph a quadratic equation. We actually see parabolas all over the place in real life. In this lesson, learn where, and the correct vocab to use when talking about them.

### 4. Parabolas in Standard, Intercept, and Vertex Form

By rearranging a quadratic equation, you can end up with an infinite number of ways to express the same thing. Learn about the three main forms of a quadratic and the pros and cons of each.

### 5. Multiplying Binomials Using FOIL and the Area Method

From the distributive property, to FOIL, to the area model, to happy faces and claws, there are many different ways to learn how to multiply binomials. In this lesson, you'll learn how to use all of them and get to pick which one you like the most.

### 6. 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.

### 7. 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.

### 8. 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!

### 9. 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.

### 10. 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.

### 11. 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!

### 12. 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!

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### Other Chapters

Other chapters within the High School Algebra I: Tutoring Solution course

- High School Algebra - Basic Arithmetic: Tutoring Solution
- High School Algebra - Solving Math Word Problems: Tutoring Solution
- High School Algebra - Decimals and Fractions: Tutoring Solution
- High School Algebra - Percent Notation: Tutoring Solution
- High School Algebra - Real Numbers: Tutoring Solution
- High School Algebra - Exponents and Exponential Expressions: Tutoring Solution
- High School Algebra - Radical Expressions: Tutoring Solution
- High School Algebra - Algebraic Expressions and Equations: Tutoring Solution
- High School Algebra - Properties of Functions: Tutoring Solution
- High School Algebra - Matrices and Absolute Value: Tutoring Solution
- High School Algebra - Working With Inequalities: Tutoring Solution
- High School Algebra - Properties of Exponents: Tutoring Solution
- High School Algebra - Complex and Imaginary Numbers: Tutoring Solution
- High School Algebra - Algebraic Distribution: Tutoring Solution
- High School Algebra - Linear Equations: Tutoring Solution
- High School Algebra - Factoring: Tutoring Solution
- High School Algebra - Properties of Polynomial Functions: Tutoring Solution
- High School Algebra - Rational Expressions: Tutoring Solution
- High School Algebra - Cubic Equations: Tutoring Solution
- High School Algebra - Quadratic Equations: Tutoring Solution
- High School Algebra - Measurement and Geometry: Tutoring Solution
- High School Algebra - Calculations, Ratios, Percent & Proportions: Tutoring Solution
- High School Algebra - Data, Statistics, and Probability: Tutoring Solution
- High School Algebra - Well-Known Equations: Tutoring Solution