6-1 Polynomial Functions

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3/4/11
6-1 Polynomial Functions
Objective: To Classify
Polynomials
Simplify Each Expression by combining
Like terms
Find the number of terms of Each.
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y   x  4x y  x y  x  2x  x  4
2
3
2
2
yx
y   x  4 x y  x  3x  3
3
2
y

x

2
x

x

2
y   x  3x  2
3
3
yx
3
2
y  x4
Now Sort the graphs Into Groups based on their
shapes and Answer the following questions:
1. How are the linear graphs alike?
2. How are the quadratic graphs alike?
3. How are the remaining graphs alike?
4. Compare the number of x-intercepts
of each graph and the greatest exponent
found in its equation. What is the
relationship?
A Monomial (one term) or the sum of
Monomials.
The exponent of the variable gives
you the degree of that term.
Standard Form: highest degree to
low
f ( x)  x  4 x  2 x  8
5
3
Degree of polynomial is the largest degree of any term
Write each polynomial in standard form
Then classify it by degree and # of terms
6-1 Homework
Page 309 1-12 evens
Page 310 34-44 evens
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