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Math Problems
Precalculus
Fundamental Theorem of Algebra
Identify the maximum number of turning points that the graph of this polynomial can have:
\newline
n
(
x
)
=
−
2
x
5
+
x
4
+
5
x
3
−
2
x
2
+
8
x
+
12
n(x) = -2x^5 + x^4 + 5x^3 - 2x^2 + 8x + 12
n
(
x
)
=
−
2
x
5
+
x
4
+
5
x
3
−
2
x
2
+
8
x
+
12
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Find a polynomial
f
(
x
)
f(x)
f
(
x
)
of degree
3
3
3
with real coefficients and the following zeros.
\newline
1
,
3
−
2
i
1,3-2 i
1
,
3
−
2
i
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