If ( $x^{5} - 9 x^{2} + 12 x - 14)$ is divided by $(x - 3)$ , then the remainder is .

284

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184

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Solution

The correct option is B 184
Given polynomial is:
$f (x) = x^{5} - 9 x^{2} + 12 x - 14$

By Remainder Theorem, f(3) gives the remainder when f(x) is divided by $(x - 3)$ .

$f (3) = 3^{5} - 9 \times {(3)}^{2} + 12 \times 3 - 14$
$f (3) = 243 - 81 + 36 - 14$
$f (3) = 184$

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