$f(\alpha)=g(\alpha)=h(\alpha)$

Algebra Level 2

Consider three quadratic functions $y=f(x),$ $y=g(x)$ and $y=h(x),$ where $f(\alpha)=g(\alpha)=h(\alpha)=0.$ Which of the following is NOT the solution to the inequality $f(x)g(x)h(x)\le 0?$

\delta

\frac{\alpha+\beta}{2}

\frac{\beta+\gamma}{2}

\frac{\gamma+\delta}{2}

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f ( α ) = g ( α ) = h ( α ) f(\alpha)=g(\alpha)=h(\alpha) f ( α ) = g ( α ) = h ( α )

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$f(\alpha)=g(\alpha)=h(\alpha)$