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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:  
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17  Subtract (3x − 4) from (6x − 8)  
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