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National Olympiad First Round
2002 National Olympiad First Round
4
P04 [Algebra] - Turkish NMO 1st Round - 2002
P04 [Algebra] - Turkish NMO 1st Round - 2002
Source:
August 7, 2014
algebra
polynomial
Problem Statement
How many real roots does the polynomial
x
5
+
x
4
−
x
3
−
x
2
−
2
x
−
2
x^5 + x^4 - x^3 - x^2 - 2x - 2
x
5
+
x
4
−
x
3
−
x
2
−
2
x
−
2
have?
<
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a
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l
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b
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a
)
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1
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b
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2
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a
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>
c
)
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3
<
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a
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x
−
b
o
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>
d
)
<
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4
<
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None of above
<span class='latex-bold'>a)</span>\ 1 \qquad<span class='latex-bold'>b)</span>\ 2 \qquad<span class='latex-bold'>c)</span>\ 3 \qquad<span class='latex-bold'>d)</span>\ 4 \qquad<span class='latex-bold'>e)</span>\ \text{None of above}
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)
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1
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b
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>
b
)
<
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2
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c
)
<
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3
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x
−
b
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d
′
>
d
)
<
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>
4
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ss
=
′
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a
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x
−
b
o
l
d
′
>
e
)
<
/
s
p
an
>
None of above
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