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Master solving polynomial equations in factored form with this comprehensive algebra tutorial from Mario's Math Tutoring! This video dives into the crucial Zero Product Property, explaining how to use it to find solutions, roots, answers, or zeros of polynomial equations. You'll learn how to identify and factor out the Greatest Common Factor (GCF) from various polynomial expressions, including trinomials with multiple variables. We'll also tackle real-world applications with vertical motion model word problems, showing you how to set up equations and solve for time and height. Perfect for students looking to solidify their understanding of factoring and its practical uses in algebra! Timestamps: 0:00 - Introduction to Solving Polynomial Equations in Factored Form 0:15 - Understanding Factored Form (Analogy to Prime Factorization) 0:40 - The Zero Product Property Explained 1:20 - Example: Using the Zero Product Property (x+2)(x-3)=0 1:55 - Terminology: Solutions, Roots, Answers, Zeros 2:25 - Greatest Common Factor (GCF) Explained (Reverse Distributive Property) 2:50 - Example: Factoring GCF (2x + 12y) 3:30 - Example: Factoring GCF (5x^2 - 20x) 4:20 - Example 1: Solving Factored Form (a+2)(a-3)=0 5:25 - Example 2: Solving Factored Form (2f+5)(3f-6)=0 6:15 - Example 3: Factoring GCF (7c^3 - 21c^2) 7:00 - Example 4: Factoring GCF (8d^2 - 20d) 7:45 - Example 5: Factoring GCF from a Trinomial (3x^2y^3 - 9x^2y^2 + 6xy) 9:10 - Example 6: Factoring and Solving (6d^2 - 3d = 0) 10:00 - Example 7: Factoring and Solving (2x^2 - 12x = 0) 10:45 - Example 8: Factoring and Solving (5y^2 = 15y) 11:45 - Introduction to Vertical Motion Model 12:40 - Word Problem 1: Kicking a Ball from the Ground 14:40 - Word Problem 2: Dropping a Penny from a Bridge Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below) http://www.mariosmathtutoring.com/fre... ➡️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) / @mariosmathtutoring