Answer :

Here the dividend polynomial p(x) = x^{3} — 3x^{2} + 4x + 5 and the divisor polynomial s(x) = x – 2

Coefficients of x^{3}, x^{2}, x and x^{0} in the dividend polynomial are 1, –3, 4 and 5 respectively.

Equating divisor polynomial x – 2 to 0, we get x = 2.

The reminder obtained when the cubic polynomial x^{3} — 3x^{2} + 4x + 5 is divided by x–2 is r(x) = 9.

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