Solve using the principle of zero products.
-$\frac{3}{8} z\left(z-\frac{1}{6}\right)=0$
A) $-\frac{3}{8}, \frac{1}{6}$
B) $\frac{1}{6}, 0$
C) $\frac{3}{8}, \frac{1}{6}$
D) $-\frac{1}{6}, 0$

Question

Quizplus · Accepted Answer

The principle of zero products states that if a product of two factors is zero, then at least one of the factors must be zero. Here, we have $\frac{3}{8}z = 0$ and $z - \frac{1}{6} = 0$. Solving each equation for $z$ gives $z = 0$ and $z = \frac{1}{6}$, respectively.

Solve Using the Principle of Zero Products 38z(z−16)=0\frac{3}{8} z\left(z-\frac{1}{6}\right)=083​z(z−61​)=0 A) −38,16-\frac{3}{8}, \frac{1}{6}−83​,61​

Solve Using the Principle of Zero Products $\frac{3}{8} z\left(z-\frac{1}{6}\right)=0$ A) $-\frac{3}{8}, \frac{1}{6}$