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

question 4

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) \(x ^ { 2 } - 2 x - 3 = 0\)

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