Which two equations would be most appropriately solved by using the zero product property?

Select each correct answer.

4x² + 16x = 0

x² + 6 = 11

(x+4) (x-12) = 0

-0.75x2+0.2x+8=0

The first and the third equation can be solved by using the zero product property. Let us examine each equation.

4x²+16x=0

4x (x+4) = 0

4x=0 and x+4=0

where x1=0 and x2=-4

Next answer is whown below:

(x+4) (x-12) = 0

x1=-4 and x2=12

Therefore, the first and the third equations are the answers.

Looking at each equation:

4x² + 16x = 0 = > This can be factored and solve using the zero product rule

x² + 6 = 11 = > This can only be solved by taking the square root

(x+4) (x-12) = 0 = > This can be solved by zero product rule

-0.75x2+0.2x+8=0 = > This can't be factored and the method needed is completing the square