Lesson 6-3 Synthetic Division
Step 1:
Copy the Standard(s) and Essential Question(s) into your spiral notebook.
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?
Copy the Standard(s) and Essential Question(s) into your spiral notebook.
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.
Make sure you can define and identify the following terms as you go through the next 2 lessons.
Step 3:
Watch the video on Synthetic Division.
Watch the video on Synthetic Division.
Step 4:
Example with Synthetic Division and Factoring Completely
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.