2) Find the remainder when x' + 3x² + 3x + 1 is divided by x + 1.
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Answer:
x+1=0
x=−1
p(x)=x
3
+3x
2
−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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