If the function \( f(x)=x^{4}+b x^{2}+8 x+1 \) has a horizontal tan...

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If the function \( f(x)=x^{4}+b x^{2}+8 x+1 \) has a horizontal tangent and a point of inflection for the same value of \( x \),
\( \mathrm{P} \) then the value of \( b \) is equal to

W
(a) -1
(b) 1
(c) 6
(d) -6
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