1. By: Jazzae’ Stewart, Kennedy Sanders, and Cebria Webster
All About Polynomials
By: Jazzae’ Stewart, Kennedy Sanders, and Cebria Webster

2. The Rational Root Theorem / Using the Root Theorem
Table of Contents:
The Rational Root Theorem / Using the Root Theorem
Synthetic Division
Polynomial Long Division
Factoring polynomials completely

3. Synthetic Division
In order to divide polynomials using synthetic division, you must be dividing by a linear expression and the leading coefficient (first number) must be a 1.
If the leading coefficient is not a 1, then you must divide by the leading coefficient to turn the leading coefficient into a 1.
If synthetic division will not work, then you must use long division.
For more help, watch the video below

4. LYRICS Hello, what’s up? Don’t math equations get buck
But not buck enough cause we’re tough
Now let’s learn about this synthetic division stuff
Synthetic division is a shortcut of a polynomial division
Just like when the weather change when it gets around Christmas
It is used for finding zeros of polynomials
You can factor around, throw it down, then make It touch the floor
In order to divide polynomials using synthetic division
You must be dividing by a linear expression and the leading coefficient must be a 1
There are 6 steps when using synthetic division
Just like the 6 hours you wait for Christmas
Step 1: in step 1 when setting up the problem
Set the denominator equal to 0
Find the number to put in the division box
Then there you go, you’re a synthetic division hero
Next, make sure the numerator is written in descending order
If any terms are missing you must put a 0 to fill the missing term
List only the coefficient in the division problem and do this type of work for anybody you can earn some dollars
CONTINUED….

5. In step 2, once the problem is set up correctly
Bring the leading coefficient straight down
Just like when Ms. Buist gives us all these tests
It makes me frown, frown, frown
In step 3, multiply the number in the division box with the number you brought down
Then put the result in the next column, and do it without a single sound
In step 4, add the 2 numbers together
Now write the result in the bottom of the row
Get a friend and help each other
And when it gets too difficult go ahead and take a bow
In step 5, you will just repeat steps 3 and 4
Until you reach the end of the problem
Come on one more step don’t give up now
In step 6, write the final answer
The answer is made up of the numbers in the bottom row with the last number being the remainder
Now let me show you an example…..

6. The Rational Root Theorem / Using the Rational Root Theorem
P/Q= the factors of the constant/ factors of leading coefficient
Procedure:
1. Find one root using synthetic division
2. Continue finding roots and dividing until you have a quadratic
3. Using any method to solve the quadratic
To understand more, watch the following YouTube video

7. Polynomial Long Division
polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalized version of the familiar arithmetic technique called long division. ( )
To learn how to divide polynomials, click the link below
414d-9898-be9ae56807c9

8. Factoring Polynomials Completely
The first method for factoring polynomials will be factoring out the greatest common factor.
To use this method all that we do is look at all the terms and determine if there is a factor that is in common to all the terms. If there is, we will factor it out of the polynomial. ( x )
To learn how to factor polynomials completely, watch this khan academy youtube below

9. TRY THE QUIZ TO TEST YOUR SKILLS