question of polynomial
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Answer:
Find the remainder when x^3 + 3x2 + 3x + 1 is divided by
(i) x + 1
Solution:
(1) By remainder theorem, the required remainder is equal to p(-1).
Now, p(x)= x^3+3x2+3x+1
p(-1) = (-1)3 + 3(-1)2 + 3(-1) +1 =-1+3-3+1=0
Hence, the required remainder = p(-1) = 0
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