Chapter 4 - Section 4.3 - Quadratic Functions and Their Properties - 4.3 Assess Your Understanding: 2

$x=\left\{\frac{1}{2}, -4\right\}$

Work Step by Step

Factor the trinomial to obtain: $(2x-1)(x+4)=0$ Equate each factor to zero; then, solve each equation to obtain: $\begin{array}{ccc} &2x-1=0 &\text{ or } &x+4=0 \\&2x=1 &\text{ or } &x=-4 \\&x=\frac{1}{2} &\text{ or } &x=-4 \end{array}$ Thus, the solutions are: $x-\left\{\frac{1}{2}, -4\right\}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.