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Division Algorithm for a Polynomial

Find the rema...

Question

Find the remainder when $x^{4} + 12 x^{3} - 5 x^{2} + 7 x - 200 i s d i v i d e d b y x - 3.$

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Solution

Consider p(x) = $x^{4} + 12 x^{3} - 5 x^{2} + 7 x - 200$ . The divisor is zero of polynomial which is 3.

The remainder is 181.

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