5. What is the Zero Product Property?(1 point)

Question

Responses

If the product of two numbers is 0, then both numbers are 0.
If the product of two numbers is 0, then both numbers are 0.

If the product of two numbers is 0, then one of the numbers is 0.
If the product of two numbers is 0, then one of the numbers is 0.

The product of two numbers is only 0 if both of those numbers are not 0.
The product of two numbers is only 0 if both of those numbers are not 0.

Any number multiplied by 0 is 0.
Any number multiplied by 0 is 0.
Question 2
6. Solve (x+2)(x-7) = 0 using the Zero Product property.(2 points)
x =

x =

Answer 1

5. The Zero Product Property states: If the product of two numbers is 0, then at least one of the numbers must be 0.

6. To solve \((x+2)(x-7) = 0\) using the Zero Product Property, we set each factor equal to 0:

7. \(x + 2 = 0\) → \(x = -2\)

8. \(x - 7 = 0\) → \(x = 7\)

Therefore, the solutions are:

\(x = -2\) and \(x = 7\).