Find Functions with Given Zeros

Question

√2, -√2, 3

Answer 1

find zero;s(x-3)(x-sqrt 2)(x+sqrt 2) = 0

(x-3)(x^2-2) = 0

x^3 -3 x^2 -2 x + 6 = 0
so
y = f(x) = x^3 -3 x^2 -2 x + 6