Question

Use the table to answer the question.

Option 1 (x−2)(x+3)=7

Option 2 x(x+3)=0

Option 3 (x+3)2−1=0

It is only possible to use the Zero Product Property on one of the options in this table. Which option can the Zero Product Property be used on to find the zeros of the function?

(1 point)
Option
Remaining Attempts : 3
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Answer 1

The Zero Product Property states that if a product of factors is equal to zero, then at least one of the factors must be zero. This property can only be applied when the equation is in the form of a product equal to zero.

Let's analyze each option:

**Option 1:** \((x−2)(x+3)=7\)
This is not in the form of a product equal to zero since it's equal to 7.

**Option 2:** \(x(x+3)=0\)
This is in the form of a product equal to zero, so the Zero Product Property can be applied here.

**Option 3:** \((x+3)^2−1=0\)
This is not a product; it is a difference of squares, so the Zero Product Property cannot be applied directly.

Therefore, the only option where the Zero Product Property can be used is:

**Option 2: \(x(x+3)=0\)**.