Find remainder when x^3 + 3x^2 + 3x +1 is divided by (x-1) by using factor theorem
Answers
Answered by
1
Answer:
see the attachment
Step-by-step explanation:
By remainder theorem
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
Attachments:
Answered by
0
Answer:
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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