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What exactly are the "zeros" of a function? 🤔 This video clearly defines zeros, roots, solutions, and x-intercepts, showing you what they represent graphically and how to find them algebraically! Mario's Math Tutoring explains that a zero is any x-value that makes the function's output (y-value) equal to zero. You'll see how this corresponds to where a graph crosses the x-axis. We'll explore different methods for finding these zeros, focusing on factoring for quadratic equations. In this tutorial, you'll learn: Graphical Representation: Understanding zeros as x-intercepts. Factoring Quadratics: Step-by-step examples of factoring to find real zeros. Imaginary Zeros: What happens when a quadratic equation yields imaginary solutions, and what that means for the graph (no x-intercepts). Connecting Algebra to Graphs: How the type of zero (real vs. imaginary) tells you about the graph's behavior. By the end of this video, you'll have a solid understanding of what zeros are and how to calculate them for various functions! #ZerosOfAFunction #Roots #Solutions #XIntercepts #Factoring #QuadraticFormula #ImaginaryNumbers #Algebra #MathTutorial #MathHelp #MarioMathTutoring Timestamps: 00:00 What is a Zero? 0:21 Synonyms for Zeros 0:51 Example 1 f(x)=x^2 - x - 12 Find the Zeros 1:24 Example 2 f(x)=x^2 - 9 Find the Zeros by Factoring 1:51 Example 3 f(x)=x^2 + 4 This Example Doesn't Have Any Zeros Related Videos: TI84 & TI83 Finding Zeros • X-Intercepts (Zeros) How to Find Using Ti84 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, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) / @mariosmathtutoring