Question

For which equation does it make the most sense to solve by using the zero product property?

Answer 1

Answer:

Option 1 - $x^2+11x+30=0$

Step-by-step explanation:

We have to find : For which equation does it make the most sense to solve by using the zero product property?

Equations :

1) $x^2+11x+30=0$

2) $x^2+2x=119$

3) $4x^2+-2x=15$

4) $2x^2+2x-9=0$

In the following equation only equation 1 is factories easily but rest 2,3,4 equations are prime equation they solve by quadratic formula but not by zero product property,

As In equation 1,

$x^2+11x+30=0$

$(x+5)(x+6)=0$

Applying zero product property,

i.e, If ab=0 then either a=0 or b=0

So, Either (x+5)=0 or (x+6)=0

Either x=-5 or x=-6

Therefore, Option 1 is correct.

Answer 2

The 1st equation can be factored into
$(x + 5)(x + 6) = 0$
you can apply the zero product rule now.