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Give examples of polynomials p(x), g(x), g(x) and r(x), which satisfy the division algorithm and (i) `( i i ) (iii) d eg"\ "p(( i v ) x (v))"\ "="\ "d eg"\ "q(( v i ) x (vii))( v i i i )` (ix) (ii) `( x ) (xi) d eg"\ "q(( x i i ) x (xiii))"\ "="

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The correct Answer is:
(i) `2x^(2) -3 = 2(x^(2) +1)-5`, (ii) `x^(3) +1=0(x^(4)) + (x^(2)+1)`
(iii) `x^(2) +1=1(x^(2)-1) +2`
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