Find the remainder when
x3 + 3x² + 3x + 1 is divided by
X
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Given polynomial is f(x)=x³+3x²+3x+1
It has to be divided by x+1.
Then x+1=0 or x=−1
Put the value x=−1,
We get,
f(−1)=(−1)³+3(−1)²+3(−1)+1
⇒f(−1)=−1+3−3+1
⇒f(−1)=0
So,
The remainder is 0, then x+1 is divided polynomial x³+3x²+3x+1.
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