# How do you find all zeros of the function #f(x) = x² + 12x + 20#?

##### 1 Answer

Mar 12, 2016

-2 and -10.

#### Explanation:

First, substitute f(x) for 0.

Then, factor x²+ 12x + 20.

Since both are positive, it should be (x+*)(x+*)

10*2 is 20, and 10+2 is 12.

Therefore, it is (x+10)(x+2)

Using the zero products property, we know that either x+10 is zero, making x= -10, or x+2 is zero, making x= -2.

Those are your zeroes of your function.