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How to do Synthetic Division to Divide Polynomials

36.5K views· 305 likes· 5:41· Jun 16, 2024

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In this video, Mario from Mario's Math Tutoring provides a comprehensive guide to synthetic division of polynomials. Learn this shortcut method for dividing polynomials, especially useful when dividing by a linear factor like (x + constant) or (x - constant). Mario walks you through the step-by-step process, including how to set up the division, handle missing terms with placeholders, perform the multiplication and addition, and interpret the final result as a quotient and remainder. He also demonstrates how a zero remainder indicates a factor and a zero of the polynomial. Watch clear examples to master synthetic division and boost your math understanding! Timestamps: 0:00 - Introduction to Synthetic Division of Polynomials 0:15 - When to use Synthetic Division (dividing by linear factors) 0:30 - Setting up Synthetic Division: Opposite sign for the divisor 0:45 - Writing coefficients and using placeholders for missing terms 1:15 - Step 1: Dropping down the first coefficient 1:25 - Step 2: Multiply on the diagonal and add straight down 2:00 - Interpreting the result: Quotient and Remainder 2:25 - Example 2: Synthetic division with x - 2 3:00 - Handling a remainder of zero (factors and zeros) 3:30 - Example 3: Practice problem with x + 2 4:50 - Final result and meaning of a zero remainder * 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) https://www.mariosmathtutoring.com/free-math-videos.html ➡️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) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join

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