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Determine the zeros of the factored quadratic function \(g(x) = -4(2x + 5)(x - 1)\).


In order for the function to be equal to zero, either \((2x + 5)\) or \((x - 1)\) must be equal to zero. Therefore,

\(\begin{align}
 2x + 5 &= 0 \\
 2x &= -5 \\
 x &= -\frac{5}{2} \\
 \end{align}\)
or
\(\begin{align}
 x - 1 &= 0 \\
 x &= 1 \\
 \end{align}\)
The zeros of the function are \(x = -\frac{5}{2}\) and \(x = 1\).