Each question in this section has four choices (a), (b), (c) and (d...

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Each question in this section has four choices (a), (b), (c) and (d) out of which only one is correct. Mark your choices as follows:
(a) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
(b) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
(c) STATEMENT-1 is True, STATEMENT-2 is False
(d) STATEMENT-1 is False, STATEMENT-2 is True
If \( P(x), Q(x) \) and \( R(x) \) are polynomials in \( x \) such that
\[
P\left(x^{3}\right)+x Q\left(x^{3}\right)=\left(x^{2}+x+1\right) R(x)
\]
Statement-1: 1 is a root of \( P(x)=0 \)
Statement-2: 1 is a root of \( Q(x)=0 \)
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