Zeros of Polynomials to Construct Graphs
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
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QUESTION
If
f
(
x
)
f(x)
f
(
x
)
has even degree and leading coefficient
a
n
>
0
a_n>0
a
n
>
0
, what is the end behavior?
QUESTION
What does the multiplicity of a zero tell you about the factorization of
f
(
x
)
f(x)
f
(
x
)
?
QUESTION
How do you determine end behavior from a polynomial written in standard form
a
n
x
n
+
⋯
a_nx^n+\cdots
a
n
x
n
+
⋯
?
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ANSWER
Use the degree
n
n
n
and leading coefficient
a
n
a_n
a
n
. These determine the polynomial's long-term behavior.
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