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Question 1 (ii)
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: p(x)=x43x2+4x+5,g(x)=x2+1x


Solution

p(x)=x43x2+4x+5=x4+0.x33x2+4x+5

g(x)=x2+1x=x2x+1

x2+x3x2x+1x4+0.x33x2+4.x+5                      x4x3+x2                    +                                     –––––––––                        x34x2+4x+5                        x3x2+x                                             –––––––––––––––                              3x2+3x+5                              3x2+3x3                              +      +                                              –––––––––––––––                                       8

Quotient = x2+x3 and remainder 8

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