Answer:
The zeroes are: -3 and -2
Explanation:
f(x) = x² + 5x + 6
This is the in the format...
ax² + bx + c
To find the zeroes of a function, you must find what two numbers that add to B but multiply to C. In this case, you have to find two numbers that add to 5 but multiply to 6.
The two numbers are...
3 + 2 = 5 (This is correct because the two numbers add are equal to B)
3 x 2 = 6 (This is correct because the two numbers multiplied together are equal to C)
You then know that you have ( x + 3 ) and ( x + 2 )
Please do not get confused, the answers ARE NOT 3 and 2. You have to set the zeroes equal to 0.
Here's what I mean by that...
x + 3 = 0
Subtract 3 on both sides...
x = -3
The other zero...
x + 2 = 0
Subtract 2 on both sides...
x = -2
Your answers are x = -2 and x = -3, make sure you always set your answers to zero.
Hope this helps!