Question

Which of the following could be a function with zeroes of -3 and 2?

Answer 1

A function with zeros -3 and 2 could be:

(x + 3)(x - 2)  or  x² + x - 6

Keep in mind that there are an unlimited number of functions that have these zeros, such as:

2(x + 3)(x - 2)  or  2x² + 2x - 12
(x + 3)(x - 2)(x + 5)  or  x³ + 6x² - x - 30

Generally, the function just has to include the factors (x + 3) and (x - 2) to have the zeros -3 and 2.