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

184

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Solution

The correct option is A
184

Let f(x) = $x^{5}$ -9 $x^{2}$ +12x-14. This when divided by (x – 3) gives remainder

f(3) = $3^{5}$ – 9 $\times$ $3^{2}$ + 12 $\times$ 3 – 14 = 184.

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