Chapter ISG, Problem 8.6.1.5P

To determine

To describe the Zero Product property .

Explanation of Solution

Given information:Zero Product Property

The Zero Product Property says that if the product of two quantities is zero, it must be that at least one of the quantities is zero. The only way to get a product equal to zero is to multiply by zero itself.

For example:

  $(-x+1)(2x+4)=0$

Using the Zero Product Property ,

  $(-x+1)=0$ or $(2x+4)=0$

On solving

  $-x+1=0$

So, $x=1$

On solving

  $2x+4=0$

So,

  $2x=-4$

Solving further,

  $x=\frac{-4}{2}$

So, $x=-2$