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Answer :
(i) p(x) = \(2x^2 + 2x + 8\)
=>q(x) = \(x^2 + x + 4\)
=> g(x) = \(2\) and r(x) = \(0\)
(ii) p(x) = \(x^3 + x^2 + x + 1\)
=>q(x) = \(x + 1\)
=> g(x) = \(x^2 - 1\) and r(x) = \(2x + 2\)
(iii) p(x) = \(x^3 - x^2 + 2x + 3\)
=>q(x) = \(x^2 + 2\)
=> g(x) = \(x - 1\) and r(x) = \(5\)