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Polynomials
Polynomial:
A finite sum / difference of terms of the form
where a= a real number and n= a whole
number . Ex: (Note: Descending order of
powers !!!)
Monomial : A polynomial with one term Ex:
Binomial : A polynomial with 2 terms Ex:
Trinomial : A polynomial with 3 terms Ex:
Coefficient: The number in front of a variable in a term. Ex:
, The coefficient is 6.
Degree of a Term : Sum of the exponents of the variables in a term.
Degree = 5  Degree = 3  −12x Degree = 1 
Degree = 2  27 (This is a constant term)  Degree = 0 
Degree of a Polynomial : Equals the degree of the
term with the highest power
Degree = ______
Degree = _____
Degree = _____
Naming a Term: Name a term using its variable(s) and power(s).
5x is called an "x" term.  12t is called a "t" term 
7xy is called an "xy" term.  65 is called a "constant" or " numerical term " 
is called an "x squared term ". 
Like Terms : Terms that have the same name.
6x and 5x are like terms
and are
like terms
and 7x are NOT LIKE TERMS!!!! (Unlike Terms)
Adding and Subtracting Polynomials
(1) Remove parentheses ( Distributive Property )
(2) Combine Like Terms (Add or Subtract the coefficients of the like terms)
Add:  Add: (4a − 6) + (−7a − 9) + (a − 3) 
Add:  Add: 
Subtract :  Subtract: 
Subtract (5x −12) from  
Simplify : 
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