Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.8 - Solving Equations by Factoring and Problem Solving - Exercise Set: 92

Answer

Choice C

Work Step by Step

Using the FOIL Method which is given by $(a+b)(c+d)=ac+ad+bc+bd,$ the given expression, $ H(x)=2x^2-7x-4 ,$ is equivalent to \begin{array}{l}\require{cancel} H(x)=(2x+1)(x-4) .\end{array} Equating $H(x)$ 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, $\text{ Choice C .}$
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