CPM Homework Help : A2C Problem 9-175

The roots of two quadratic polynomials are given below. Write possible quadratic functions in standard form.

$x = - i , x = i$
Example (a):
$\left(x + i\right)\left(x − i\right) = x^{2} + 1$

$x = 1 + \sqrt { 2 } , x = 1 - \sqrt { 2 }$
Example (b):
$(\textit{x}-(1+\sqrt{2}))(\textit{x}-(1-\sqrt{2}))=?$