Identify the polynomial and mention their degrees.
$a x^{2} + b x + \frac{c}{x} + d$

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Solution

$a x^{2} + b x + \frac{c}{x} + d$ this is not a polynomial because the exponent of variables in a polynomial must be a whole number but here in the third terms it have negative exponent $(: . \frac{c}{x} = c x^{- 1})$ .
Hence, $a x^{2} + b x + \frac{c}{x} + d$ has no degree.

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