Intermediate Algebra (6th Edition)

Using the FOIL Method which is given by $(a+b)(c+d)=ac+ad+bc+bd,$ the given expression, $G(x)=2x^2+9x+4 ,$ is equivalent to \begin{array}{l}\require{cancel} G(x)=(2x+1)(x+4) .\end{array} Equating $G(x)$ to $0,$ then \begin{array}{l}\require{cancel} 0=(2x+1)(x+4) .\end{array} Equating each factor to zero (Zero Product Property) then the zeroes of the equation above are $x=\left\{ -\dfrac{1}{2},-4 \right\} .$ Hence, $\text{ Choice B .}$