Here the dividend polynomial p(x) = x3 — 3x2 + 4x + 5 and the divisor polynomial s(x) = x – 2
Coefficients of x3, x2, x and x0 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 x3 — 3x2 + 4x + 5 is divided by x–2 is r(x) = 9.
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