If \( (x+4)(x-2)(x+1) \) is the HCF of the polynomials \( f(x)=\left(x^{2}+2 x-8\right)\left(x^{...

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If \( (x+4)(x-2)(x+1) \) is the HCF of the polynomials \( f(x)=\left(x^{2}+2 x-8\right)\left(x^{2}+4 x+a\right) \) and \( g(x)=\left(x^{2}-x-2\right)\left(x^{2}+3 x-b\right) \), then \( (a, b)= \)
(a) \( (3,-4) \)
(b) \( (-3,-4) \)
(c) \( (-3,4) \)
(d) \( (3,4) \)
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