Adding, Subtracting and Multiplying Polynomials
Exponent Properties :  
Rule:  Example  
and  
Adding/ Subtracting Polynomials :  
To add two polynomials , simply add like terms 
Use commutative property to get like terms together. 

To Subtract two
polynomials , change all subtraction to addition, and then add like terms. Don’t forget to distribute the negative ! 

Distribute your negative ! 

Multiplying polynomials :  
Monomial by monomial : Use the commutative property and the properties for exponents 

Monomial by any other polynomial :
just use the distributive property and the rules for exponents 

FOIL method (for two binomials only): First, Outside, Inside, Last 
Combine like terms  
Column method (for other
polynomials): Line up like long multiplication, but work from left to right and line up like terms . 
Line up like terms, Add 
Simplify the following polynomials using the properties and examples above:
Problem:  Simplified form:  
1  
2  
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6  
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8  
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16  
17  Subtract (3x − 4) from (6x − 8)  
18  
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20 
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