Remainder Theorem and Synthetic Division of Polynomials











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👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear binomial of form x - a, the remainder of the division is given by f(a). • The factor theorem is a special case of the remainder theorem which states that if f(a) = 0, then x - a is a factor of the polynomial f(x). Thus, given a polynomial, f(x), to see if a linear binomial of form x - a is a factor of the polynomial, we solve for f(a). If f(a) = 0, then x - a is a factor, and x - a is not a factor otherwise. • These two theorems help us understand how we better understand the relationship between a polynomial function, its factors, and the remainder. Using the theorem also can save us time from determining if we have a factor or zero of a polynomial without having to use division. • 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianm... • ❤️Support my channel by becoming a member:    / @brianmclogan   • 🙋‍♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7 • 🎉Follow the Community:    / mrbrianmclogan   • Organized Videos: • ✅Remainder and Factor Theorem •    • Remainder and Factor Theorem   • ✅Remainder and Factor Theorem | Learn About •    • Remainder and Factor Theorem | Learn ...   • ✅How to apply the Remainder and Factor Theorem •    • How to apply the Remainder and Factor...   • • 🗂️ Organized playlists by classes here:    / mrbrianmclogan   • 🌐 My Website - http://www.freemathvideos.com • 🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-ca... • Connect with me: • ⚡️Facebook -   / freemathvideos   • ⚡️Instagram -   / brianmclogan   • ⚡️Twitter -   / mrbrianmclogan   • ⚡️Linkedin -   / brian-mclogan-16b43623   • 👨‍🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclog... • 👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/ • #polynomials #brianmclogan

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