What is the quotient and remainder when x³ + 1 is. divided by. x³.
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Hope it will help you.
Step-by-step explanation:
We have x
3 +1=(x+1)(x2−x+1).
Now, (x+1)x 3+1= x+1
(x+1)(x2−x+1)=(x 2−x+1).
So when x 3+1 is divided by (x+1) then the quotient be x 2−x+1 and the remainder will be 0 [ Since x 3+1 is perfectly divisible by (x+1)]
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