Chapter 3 Summary

For Chapter three there are many different methods such as Approximate- midpoint, rational zero test, remainder theorem, long division, synthetic division, conjugate theorem, and number of zeroes which is degrees. When given a real zero in a problem there are three different steps to do: 1. Division (synthetic or long division), 2. Continue dividing, 3. Quadratic- either quadratic formula or factoring. When given imaginary zeroes in a problem there are also three different steps: 1. Write conjugate pairs as factors, 2. Multiply, and 3. divide. If your given nothing in a problem then you must use the rational zero test, test all possibilities and find one that works. When doing synthetic division remember to always switch the sign of the number you are using or else your answer will be wrong! Also, for the remainder theorem, the number you are given, you can substitute it into x. For the rational zero test, once you find a number that works, you must also find other zeroes that work too! 

Picture of me doing a problem involving long division: