Q1 of 64 Page 49

Divide the following polynomial p(x) by the polynomial s(x).

p(x) = x4 + 4x3 + 5x2 — 7x — 3, s(x) = x2 — 1

Here, dividend polynomial = p(x) = 2x3 – 13x2 + 23x – 12


and divisor polynomial = s(x) = 2x — 3



Thus, the quotient polynomial q(x) = x2 + 4x + 6 and the reminder polynomial r(x) = –3x + 3.


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Divide the following polynomial p(x) by the polynomial s(x).

p(x) = 40x2 + 11x — 63, s(x) = 8x — 9

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Divide the following polynomial p(x) by the polynomial s(x).

p(x) = 2x3 + 9x2 + 13x + 6, s(x) = 2x2 + 5x + 3

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

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3 is a zero of p(x) = 3x3 — x2 — ax — 45. Find 'a'.