What are the zeros of the function f(x)=x^2-2x-15?

To find the zeros of this function, we must first set the entire function equal to 0

f(x) = x² - 2x - 15 = 0

Since this is a quadratic function, we must use the quadratic formula, which is:



Let's assign a, b, and c using our first function
x² means a = 1 (because it could be written as 1x²)
-2x means b = -2
-15 means c = -15

Now let's plug those in:



which simplifies to:



Simplified further:



And divide it by the 2 on the bottom gives us:



2+4 = 6
2-4 = -2

So the zeros of this function are -2 and 6