Number of positive roots of $x^{5} + 2 x^{3} - 5 x^{2} + 1 = 0$ is

zero

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atmost 1

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atmost 2

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Solution

The correct option is B atmost 2
$x^{5} + 2 x^{3} - 5 x^{2} + 1 = 0$
f(x)= $x^{5} + 2 x^{3} - 5 x^{2} + 1$
+ + - +
Maximum number of positive roots =2

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