Answer:
Option 1 x² + 11x +30 = 0 is correct.
Explanation:
Zero product property states that if ab=0 then a=0 and b =0
The equation 1 can be factored easily i.e,
x² + 11x +30 = 0
x² + 5x+6x +30 = 0
x(x+5)+6(x+5)=0
(x+6)(x+5)=0
so, applying zero product property
(x+6)=0 and (x+5)=0
x=-6 and x=-5
The rest of the options 2,3 and 4 are prime equations, and they could be solved using quadratic formula or by completing the square but not using zero product property.
So, Option 1 is correct.