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Polynomial Functions

The degree of...

Question

The degree of the polynomial function $f (x) = (1 - x^{2}) (x - 1)$ is

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Solution

$f (x) = (1 - x^{2}) (x - 1)$
$\Rightarrow f (x) = - x^{3} + x^{2} + x - 1$
Since, here the highest power of $x$ is $3$ ,
$∴$ Degree of the polynomial function is $3.$

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