## anonymous one year ago Find the cubic function with given roots. See next comment.

1. anonymous

$1, 1 + \sqrt{2}, 1 - \sqrt{2}$

2. mathmate

Hint: There can be many cubic functions with the given roots, in the form f(x)=a(x-x1)(x-x2)(x-x3) where x1,x2,x3 are the roots of f(x), and a is a non-zero constant.