Find q(x) and r(x), for the quadratic polynomial p(x) = 11x — 21 + 2x2 when divided by 1 + 2x
Here, dividend polynomial = p(x) = 11x — 21 + 2x2 = 2x2 + 11x — 21
and divisor polynomial = s(x) = 1 + 2x = 2x + 1

The quotient polynomial q(x) = x + 5 and the reminder polynomial r(x) = –26.
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