Question

What is the quadratic polynomial function in standard form with zeros 3, 1, 2, and -3?

Answer 1

It's a quartic (order 4), not a quadratic (order 2), but the simplest example is:

`(x-3)(x+3)(x-1)(x-2)`

`= (x^2-9)(x^2-3x+2)`

`= x^4-3x^3-7x^2+27x-18`

Explanation:

To have exactly `4` distinct zeros, it must have `4` distinct linear factors, and hence be of the form given.