**Lesson 6-3 Synthetic Division**

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__Step 1__:Copy the Standard(s) and Essential Question(s) into your spiral notebook.

Standard(s):

Standard(s):

A.APR.2 Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) =0 if and only if (x – a) is a factor of p(x).

__Essential Question(s):__What goes in the top left corner when using Synthetic Division?

What do you have to remember if a polynomial term is missing?

What is the next step, after Synthetic Division,that is necessary to find the other zeros?

**Step 2:****Make sure you can define and identify the following terms as you go through the next 2 lessons.**

__Step 4:__Example with Synthetic Division and Factoring Completely

Notice the result, and the fact that it is zero! So evaluating the function for 4 is the same as performing Synthetic Division. The remainders are identical. That's what the Remainder Theorem is trying to say.