Question

How to find whether the zeroes of a polynomial will be negative positive or zero?

Answer 1

Answer:

$find \: \: discreminent \: .... \\ \\ if \: \: the \: quadratric \: \: equation \: \: is \: \: a {x}^{2} + bx + c = 0 \\ \\then \: \: d = {b}^{2} - 4ac \\ \\ (1) \: if \: \: d > 0 \: \: then \: \: roots \: \: are \: \: positive \: \: and \: \: different . \\ \\ (2) \: if \: d = 0 \: \: then \: \: roots \: \: are \: positive \: \: and \: \: same. \\ \\ (3) \: if \: d < 0 \: \: the \: \: roots \: \: are \: \: imaginary \: .$

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