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20 votes
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What is the remainder when (x^3+1) is divided by (x^2 - x + 1 )

What is the remainder when (x^3+1) is divided by (x^2 - x + 1 )-example-1
User CuriousSuperhero
by
3.2k points

1 Answer

18 votes
18 votes

Answer: D: 0

Explanation:

Without doing a long division.


Remember:\\\\\\\boxed{a^3+b^3=(a+b)(a^2-ab+b^2)}\\\\(x^3+1)/(x^2-x+1) =((x+1)(x^2-x+1))/(x^2-x+1) =x+1\\\\remainder\ is\ 0\\\\Answer\ D\\

User Soumik Rakshit
by
2.5k points
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