Write a quadratic function whose zeros are - 2 and - 10

f (x) = x^2 + 12x + 20

Step-by-step explanation:

What is meant is that write a function that when - 2 is put in for x, the function goes to 0.

More formally f (-2) = 0.

So the function you want is f (x) = y = (x + 2) (x + 10) which is

f (x) = x^2 + 10x + 2x + 20

f (x) = x^2 + 12x + 20

Now put - 2 into this function.

f (-2) = (-2) ^2 + 12 (-2) + 20

f (-2) = 4 - 24 + 20

f (-2) = 4 + 20 - 24

f (-2) = 0

I'll leave you to do the same thing with - 10