Synthetic Division of Polynomials [Part 2] - Divide Quickly Using This Method

This video will show you how to do synthetic division ➗ with 2 polynomials. Dividing two polynomials using synthetic division can be easier than algebraic long division 🌟 because it involves fewer steps with a simpler algorithm 🎰. This particular video looks at questions involving the synthetic division of a polynomial by a divisor of the form x ± b, but where there appear to be missing numbers or missing terms in the dividend ☹️ of a quartic polynomial. This may not sound too complex 💣, but if we do not take this into account when setting up 🏗️ our synthetic division, it will not work 😲. If our long term goal 🥅 is to use synthetic division and the remainder theorem side by side, thereby factoring polynomials to find their zeros 0️⃣, then we must be comfortable working with dividends with missing powers of x 🤺, no matter whether you are in class 9, class 10, or preparing for the sat.

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Here is what you can expect in this video 📺:

00:00 Introduction
00:00 Introduction
00:32 Checking The Divisor
00:57 Checking The Dividend
01:31 Setting Up The Synthetic Division
02:35 Performing The Synthetic Division
04:37 Interpreting The Results Of The Synthetic Division
05:42 Conclusion

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[sarahbelo]

These are so helpful to review. Thank you!

[megananderson]

Thank you for the reminder (and rationale) for putting in place holders for the missing powers of 'x'. Super helpful! :)