Answer:
It makes more sense to apply the zero product property on x² + 11x + 30 = 0.
Explanation:
The zero product property simply states that if ab = 0, then a = 0 or b = 0 or both are zeros.
Given 4x² – 2 = 15, 2x² + 2x – 9 = 0, x² + 11x + 30 = 0, x² + 2x = 119; let's see which of the above is easiest to apply the zero product property.
1. 4x² – 2 = 15
4x² – 2 – 15 = 0
4x² – 17 = 0
It's not so easy to express the result as a product equal to zero.
2. 2x² + 2x – 9 = 0
This is not factorisable easily and can't be expressed as a product equal to zero easily.
3. x² + 11x + 30 = 0
This is factorisable easily. On factorising we have:
x² + 5x + 6x + 30 = 0
(x + 5)(x + 6) = 0. The zero product property can be applied here easily since x = 5 or x = 6 or both.
4. x² + 2x = 119
x² + 2x – 119 = 0
This is not easily factorisable and cannot be expressed easily as a product equal to zero.
Therefore, it makes more sense to apply the zero product property on
x² + 11x + 30 = 0