The polynomial p(x) = x5 − 9x4 + 13x3 + 57x2 − 86x − 120 has a total of zeroes. It can have a maximum of positive real roots and a maximum of negative real roots.
Since it is 5th order polynomial it has a total of 5 zeroes.
Using Descartes' Rule of Signs,
It can have a maximum of 3 positive real roots
and a maximum of 2 negative real roots
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