Find the values of the following polynomial.
$p (x) = - x^{3} + x^{2} - 6 x + 5$ , when $x = 2$

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Solution

In the given polynomial $p (x) = - x^{3} + x^{2} - 6 x + 5$ , substitute $x = 2$ as shown below:

$p (2) = - 2^{3} + 2^{2} - (6 \times 2) + 5 = - 8 + 4 - 12 + 5 = - 20 + 9 = - 11$

Hence, $p (2) = - 11$ .

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