If the dividend = x4+x3−2x2+x+1,divisor = x−1 and remainder = 2,then find the quotient q(x). (2 marks)
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Solution
Given: Dividend = x4+x3−2x2+x+1,divisor = x−1 and remainder = 2 To find: Quotient q(x)(0.5marks)
x3+2x2+1x−1x4+x3−2x2+x−1−x4+x3–––––––––––––––––––22x3−2x2+x−1−2x3+2x2–––––––––––––––––––––––0x2+x−1−x+1––––––––––––0(1mark)Hence, the quotient is x3+2x2+1. (0.5 marks)