Solve Using the zero product property X^2+11x+30=0

First, we must factor the equation. To do so, we need to find factors of 30 that also add up to eleven. 5 and 6 will do the trick. The equation factors as such:

(x+5) (x+6). Using the zero product property, x can equal either - 5 or - 6, either of which will make the equation equal zero.

First you need to factor the equation

x^2+11x+30

You can do this by asking yourself:

"What multiplies to 30 but adds up to 11?"

In this case, 6 and 5 work

Factor:

(x+6) (x+5)

If you were to foil the factored form you would get

x^2+11x+30

The Zero Product Property is where you set your factored forms to zero like so:

x+6=0

x+5=0

And then you would solve for x

Final answer:

x=-6 or x=-5