how do you find a polynomial equation using Its zeros?

Question

with zeros 1, -2, and 2 can someone tell me how I am supposed to find what equation this would form. I think based on the curriculum it would have something to do with cube form but the only way I know is with an exponent of 2 not 3 (2 x intercepts not 3).

Answer 1

Here is the concept you need to understand. if a number (call it n)is a zero then (x-n) is a factor of the equation so the expression we are dealing with in factored form is

a( x-1)(x+2)(x-2) where a is any constant.

You can graph this on Desmos in factored form using different values for a and you will see what I mean