For which equation does it make the most sense to solve by using the zero product property? 4x2−2=15 2x2+2x−9=0 x² + 11x +30 = 0 x² + 2x = 119

It makes more sense to apply the zero product property on x² + 11x + 30 = 0.

Step-by-step 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

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