What is the remainder when x^3-3x^2+x-1 is divided by x-2? (Please refer to the illustration of long division in item number 1)
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Find the remainder when x3+3x2+3x+1 is divided by
X+1
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By remainder theorem
x+1=0
x=−1
p(x)=x3+3x2−3x−1p(−1)
=(−1)3+3(−1)2−3(−1)−1
=−1+3(1)+3−1
=−1+3+3−1
=6−2
=4
Thus remainder is 4
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