# Ch 17: Factoring & Graphing Quadratic Equations: Help & Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering high school algebra I material will benefit from taking this course. There is no faster or easier way to learn high school algebra I. Among those who would benefit are:

- Students who have fallen behind in understanding how to multiply binomials or graph and factor quadratic equations
- 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 graphing and factoring quadratic equations
- 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 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 question on graphing and factoring quadratic equations. 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 graphing and factoring quadratic equations unit of a standard high school algebra I course. Topics covered include:

- Using tables and graphs in the real world
- Interpreting parabolas
- Using scatterplots and line graphs
- Multiplying binomials using FOIL and the area method
- Factoring quadratic equations

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

Tables represent data with rows and columns while graphs provide visual diagrams of data, and both are used in the real world. Explore tables, graphs, and examples of how they are used for common things, such as explaining a cell phone plan and charting population growth.

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

Scatterplots and line graphs are mathematical representations used to visually analyze and interpret data. This lesson defines scatterplots and line graphs, identifies when to use each, and provides examples of their various uses.

### 3. 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.

### 4. 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.

### 5. 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.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. Solving Quadratic Trinomials by Factoring

Quadratic trinomials are polynomials with three terms that can be rewritten in a factored form consisting of two binomial factors, which will give the solutions to the quadratic equation. Learn about the standard form of a quadratic trinomial, how to set up an equation for factoring, how to determine the factors, and how to solve for the solution values.

### 10. 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.

### 11. 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.

### 12. 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.

### 13. B-Value: Definition & Explanation

The b-value is the middle number in a quadratic equation, and it affects the location of the parabola. Explore the definition and explanation of b-value and learn about the quadratic parabola and how the b-value affects it.

### 14. Double Bar Graph: Definition & Examples

A double bar graph displays information and compares data with two bars next to each other at various heights. Explore the definition and examples of double bar graphs and learn how to construct them.

### 15. Double Line Graph: Definition & Examples

A double line graph contains two lines that connect points to show a continuous change. Explore the definition and examples of a double line graph and discover how to construct them.

### 16. Graph Quadrants: Examples & Definition

Graph quadrants divide graphs into four sections that contain negative and positive values of x and y. Explore the definition and examples of graph quadrants and gain an understanding of each quadrant and their usefulness.

### 17. How to Factor the Difference of Cubes: Formula & Practice Problems

Learn how to determine if an expression can be factored as a difference of cubes and also how to use the difference of cubes formula to factor these types of expressions.

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### Other Chapters

Other chapters within the High School Algebra I: Help and Review course

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