Question

How do you write a polynomial function f of least degree that has the following zeroes: 2, 6, -3?

Answer 1

`f(x)=x^3-8x^2-6x+36`

Explanation:

A polynomial function of least degree (that's three) that has the given zeroes would be:

`f(x)=(x-2)(x-6)(x+3)`

By expanding you get its polynomial form:

`x^3-2x^2-6x^2-18x+12x+36`

`x^3-8x^2-6x+36`