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If the function f(x)=x^4+b x^2+8x+1 has ...

If the function `f(x)=x^4+b x^2+8x+1` has a horizontal tangent and a point of inflection for the same value of `x` then the value of `b` is equal to `-1` (b) 1 (c) 6 (d) `-6`

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