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Unformatted text preview: College Algebra 3.2 &amp; 3.3 Synthetic Division and Zeros of Polynomial Functions First we will review long division: Divide: 1 4 3 2 2 2 3 4 + +- + x x x x We are going to be dividing A LOT so you can see that it would be very time consuming if we had to long division over and over. Thats why we need a faster way synthetic division. Synthetic division is just a way to do the division without having to worry about the variables. The only drawback is that synthetic division only works if your divisor is linear . Divide using synthetic division: 2 3 5 6 2 3 2 3 4 6 + +-- +- x x x x x x (3.2, #8) Now write the answer using the division algorithm . That is, in the form r x q k x x f +- = ) ( ) ( ) ( . If you understood the last problem you have the basic idea of section 3.2. Sometimes the problems will just be worded differently to try to get you ready for the next section....
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