How do you find all zeros of the function #f(x) = x² + 12x + 20#?
-2 and -10.
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.