Q2 of 64 Page 49

Find the remainder polynomial when the cubic polynomial x3 — 3x2 + 4x + 5 is divided by x — 2

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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