Question

The factors of a function are 2, (x+12), and (x-7). What is the distance between the

zeros of the function?

Answer 1

A polynomial function can be factored by its roots

f(x) = (x-a).(x-b). ... (x-r)

Which a, b, ... r are roots

In this case

f(x) = (x+12).(x-7)

But

f(x) = (x-(-12)).(x-7)

Thus roots are

-12 and 7

Distance is the abs function

abs(-12,7) = |-12 - 7| = 19

Ans: 19

Explanation: