Number of positive roots of $x^{4} + 3 x^{3} - 2 x^{2} - 3 = 0$ is

zero

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Solution

The correct option is C 1
$x^{4} + 3 x^{3} - 2 x^{2} - 3 = 0$
$f (x) = x^{4} + 3 x^{3} - 2 x^{2} - 3$
+ + - -
Maximum number of positive roots (sign change) =1
$f (0) = - 3$
$f (2) = 29$
SIgn is changing b/w (0,2) and only 1 positive root is possible.
$∴$ This function will have only 1 positive root.

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