Question

A polynomial of degree at least 3 degree where all the zeros are positive whole numbers

Answer 1

`x^(3) - 6\cdot x^(2) + 11\cdot x - 6`

Explanation:

A polynomial of a third degree is a product of three binomials of the form
`x - a`. Let consider the following polynomial:

`(x-1) \cdot (x-2)\cdot (x-3)`

After some algebraic handling, the standard form of the polynomial is:

`(x^(2)-3\cdot x +2)\cdot (x-3)`

`x^(3) - 3\cdot x^(2) + 2\cdot x - 3\cdot x^(2) + 9\cdot x - 6`

`x^(3) - 6\cdot x^(2) + 11\cdot x - 6`