For what values of x is the value of the function f(x)=x² +3x+2 equal to zero?

x=-2       x=-1

Step-by-step explanation:

f(x)=x² +3x+2

Set the function equal to zero

0=x² +3x+2

Factor

What 2 numbers multiply to 2 and add to 3

2*1 = 2

2+1 = 3

0 = ( x+2) (x+1)

Using the zero product property

x+2 =0   x+1 =0

x=-2       x=-1

astronomers is your final answer! : )