Question

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

Answer 1

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.

Answer 2

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