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Question
Find the reminder when x3+3x2−3x−1 is divided by x+1.
Find the reminder when x3+3x2−3x−1 is divided by x+1.
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Solution
The correct option is A 4
Let f(x)=x3+3x2−3x−1.The polynomial f(x) is divided by x+1.Then x+1=0⟹x=−1.
By remainder theorem, the remainder is given by f(−1).
Hence, remainder of the given polynomial f(x) is
f(−1)=(−1)3+3(−1)2−3(−1)−1 =−1+3+3−1=4.
That is, the remainder obtained is 4.
Hence, option A is correct.
Let f(x)=x3+3x2−3x−1.
The polynomial f(x) is divided by x+1.
Then x+1=0⟹x=−1.
By remainder theorem, the remainder is given by f(−1).
Hence, remainder of the given polynomial f(x) is
f(−1)=(−1)3+3(−1)2−3(−1)−1 =−1+3+3−1=4.
That is, the remainder obtained is 4.
By remainder theorem, the remainder is given by f(−1).
Hence, remainder of the given polynomial f(x) is
f(−1)=(−1)3+3(−1)2−3(−1)−1 =−1+3+3−1=4.
That is, the remainder obtained is 4.
Hence, option A is correct.
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