# NIELIT 2019 Feb Scientist D - Section D: 7

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Find all the polynomials with real coefficients $P\left(x \right)$ such that $P\left(x^{2}+x+1 \right)$ divides $P\left(x^{3}-1 \right)$.

1. $ax^{n}$
2. $ax^{n+2}$
3. $ax$
4. $2ax$

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Correct option is (A).

See this.

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