Find a Quadratic Equation with Rational Coefficients, One of Whose $x ^ { 2 }$

Multiple Choice

Find a quadratic equation with rational coefficients, one of whose roots is the given number. Write your answer so that the coefficient of
$x ^ { 2 }$ is 1. $r _ { 1 } = 1 + \sqrt { 2 }$

A) $x ^ { 2 } - 3 x - 1 = 0$
B) $x ^ { 2 } - 2 x - 8 = 0$
C) $x ^ { 2 } - 2 x - 1 = 0$
D) $x ^ { 2 } - 2 x - 9 = 0$
E) $x ^ { 2 } - 2 x - 3 = 0$