Question

How do you write a polynomial function of least degree that has real coefficients, the following given zeros: `1, 1+sqrt(2), 1-sqrt(2)`?

Answer 1

`x^3 - 3 x^2 + x+1`

Explanation:

`(x-1-sqrt(2))(x-1+sqrt(2))(x-1) = ((x-1)^2-2)(x-1)`
`=x^3 - 3 x^2 + x+1`