Find the zero of the polynomial in the following case:
$p(x) = \frac{2}{3}x + \frac{5}{4}$
$p(x) = \frac{2}{3}x + \frac{5}{4}$
(D) To find the zero of the polynomial $p(x)$,we set $p(x) = 0$.
$\frac{2}{3}x + \frac{5}{4} = 0$
Subtract $\frac{5}{4}$ from both sides:
$\frac{2}{3}x = -\frac{5}{4}$
Multiply both sides by $\frac{3}{2}$ to solve for $x$:
$x = -\frac{5}{4} \times \frac{3}{2}$
$x = -\frac{15}{8}$
$\frac{2}{3}x + \frac{5}{4} = 0$
Subtract $\frac{5}{4}$ from both sides:
$\frac{2}{3}x = -\frac{5}{4}$
Multiply both sides by $\frac{3}{2}$ to solve for $x$:
$x = -\frac{5}{4} \times \frac{3}{2}$
$x = -\frac{15}{8}$
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