Question

Explain how you solve an equation by using the Zero-Product Property.

Answer 1

Step-by-step explanation: the "Zero Product Property" says that:

If a × b = 0 then a = 0 or b = 0

(or both a=0 and b=0)

It can help us solve equations:

Example: Solve (x−5)(x−3) = 0

The "Zero Product Property" says:

If (x−5)(x−3) = 0 then (x−5) = 0 or (x−3) = 0

Now we just solve each of those:

For (x−5) = 0 we get x = 5

For (x−3) = 0 we get x = 3

And the solutions are:

x = 5, or x = 3