Question

If $B^{3}A<0$ and $A>0$, which of the following must be negative?

• A. $AB$
• B. $B^{2}A$
• C. $B^4$
• D. $\frac{A}{B^2}$
• E. $-\frac{B}{A}$

Answer 1

The correct option is A $AB$

If $A$ is positive $B^3$ must be negative. Therefore, $B$ must be negative. If $A$ is positive and $B$ is negative, the product $AB$ must be negative.