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

p(x) = x^{4} + 4x^{3} + 5x^{2} — 7x — 3, s(x) = x^{2} — 1

Answer :

Here, dividend polynomial = p(x) = 2x^{3} – 13x^{2} + 23x – 12

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

Thus, the quotient polynomial q(x) = x^{2} + 4x + 6 and the reminder polynomial r(x) = –3x + 3.

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