Question

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

Answer 1

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.

Answer 2

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