You can factor it by using a method of your choice. I'll just use guess and check, because it's the easiest in this situation (for me). I need two numbers that multiply to 6, and add up to 5. Those two number are 2 and 3. 2 * 3 = 6, and 2 + 3 = 5. So, I can write the above equation as follows in factored form:
[tex]f(x) = (x+2)(x+3)[/tex]
Then it's pretty easy to recognize the zeros because I just have to solve for each parentheses by doing this:
[tex]x + 2 = 0[/tex]
[tex]x = -2[/tex]
and
[tex]x + 3 = 0[/tex]
[tex]x = -3[/tex]
So, your zeros are at -2 and -3. Your answer is A. If any step doesn't make sense, hmu!
