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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