Given the function
C
(
x
)
=
−
x
7
+
3
x
8
+
x
2
+
x
\displaystyle {C}{\left({x}\right)}=-{x}^{{7}}+{3}{x}^{{8}}+{x}^{{2}}+{x}
C
(
x
)
=
−
x
7
+
3
x
8
+
x
2
+
x
There are at most
x-intercepts, and
at most
turning points.
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