I don't understand exactly what it wants. So is it asking for a function like this:

2 functions:

They have 1 zero, They have no zeroes:

And when you add these two function they have 2 zeros.

Am I correct?

Julius
Jan 16, 2018

#3**+2 **

Assuming we are talking about real zeroes....

Let one function be 2( x - 2) ^2 = 2 x^2 - 8 x + 8 whch has one zero at x = 2

Let the second be -x^2 - 17 which has no real zeroes

So....their sum is

x^2 - 8x - 9 factor

(x - 9) (x + 1)

The zeroes are x = 9 and x = -1

See the graphs here : https://www.desmos.com/calculator/fre2biof7f

CPhill
Jan 16, 2018