Question

Find a polynomial with the zeros -1, 7, sqrt2, and -(sqrt2).

Can this be f(x) = x^4 - 6x^3 - 9x^2 + 12x + 14?

Answer 1

well, it could be
(x+1)(x-7)(x^2-2)
= what you wrote.

extra credit: are there any others?

Answer 2

fiat diem nunched videnbon ridel