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Number Theory
Diophantine Equations
6 A ) Let f ( x ) = x 5 -
Undergraduate
6 A ) Let f ( x ) = x 5 - 2 x 4 + 5 x - 1 0 , Find all x
6
A
)
Let
f
(
x
)
=
x
5
-
2
x
4
+
5
x
-
1
0
,
Find all
x
such that
f
(
x
)
=
0
.
Solve algebraically, do not use graphing calculator.
6
B
)
Let
f
(
x
)
=
-
x
8
-
4
x
5
+
2
x
,
Use this function to answer each question.
Explain why and use the same method taught in class.
I
)
Describe the end behavior of
f
(
x
)
.
II
)
How many turning points does
f
(
x
)
have?
III
)
How many inflection points does
f
(
x
)
have?
6
C
)
Find the real solution for the equation
x
4
-
2
x
3
+
2
x
2
=
0
Using algebraic method only? Explain why and use the same method taught in class.
Step by Step Solution
1
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