If HCF and LCM of two polynomials \( P(x) \) and (IV) \( Q(x) \) are \( x(x+p) \) and \( 12 x^{2...

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If HCF and LCM of two polynomials \( P(x) \) and
(IV) \( Q(x) \) are \( x(x+p) \) and \( 12 x^{2}(x-p)\left(x^{2}-p^{2}\right) \) respectively. If \( P(x)=4 x^{2}(x+p) \), then \( Q(x)= \)
(a) \( 3 x(x-p)^{2}(x+p) \)
(b) \( 3 x(x-p)(x+p) \)
(c) \( 3 x(x+p)\left(x^{2}-p^{2}\right) \)
(d) \( 3 x(x+p)\left(x^{2}+p^{2}\right) \)
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