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Factoring Word Problems: Area, Projectiles, and Volume Examples

1.3K views· 40 likes· 11:31· Mar 15, 2026

In this video, we go through three comprehensive examples to learn how to work with word problems involving factoring. We'll cover essential tips and techniques for approaching these algebra problems, including drawing diagrams and identifying extraneous solutions. We’ll dive into three specific scenarios: Example 1: Finding dimensions for a rectangular garden by doubling its area. Example 2: Solving a physics problem involving an object thrown from a building to find when it hits the ground. Example 3: Calculating the dimensions of a rectangular prism (box) given its volume and relative dimensions. We will practice factoring trinomials, factoring out greatest common factors (GCF), and factoring by grouping for four-term polynomials. Timestamps: 0:00 Intro to Factoring Word Problems 0:16 Example 1: Rectangular Garden Area Problem 3:48 Example 2: Projectile Motion and Height Equation 6:44 Example 3: Volume of a Rectangular Prism (Grouping Method) Complete Guide to Factoring (All Types) https://youtu.be/cvgiCfbNIE8 #Algebra #Factoring #MathTutoring #WordProblems #MathHelp ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join

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