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Consider the real polynomial
\[
f(x)=x^{11}-x^{7}+x^{2}-1
\]
Which of the following sentences is correct?

  1. $f(x)$ has exactly one positive root.
  2. $f(x)$ has exactly two positive roots.
  3. $f(x)$ has at least three positive roots.
  4. None of the other three options.
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