Drag numbers to the lines to show the zeros of the function f(x)=x{2}+2x-8

The zeros of the function:

Step-by-step explanation:

Given the function

In order to determine the zeros of the function, substitute f(x) = 0

Breaking the expression x²+2x-8=0 into groups

Factor out x from x²-2x:   x(x-2)

Factor out 4 from 4x-8:   4(x-2)

so

Factor out common term: x-2

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

solving x+2 = 0

x+2 = 0

x = -2

solving x+4=0

x+4 = 0

x = -4

Therefore, the zeros of the function: