Given:
[tex]\text{ Roots of quadratic polynomial are }3+\sqrt{2}\text{ and }3-\sqrt{2}[/tex]Required:
Find quadratic equation.
Explanation:
We can write it as
[tex]\begin{gathered} =(x-(3+\sqrt{2}))(x+(-3+\sqrt{2})) \\ \text{ We can further write it as} \\ =(x-3-\sqrt{2})(x-3+\sqrt{2}) \\ =x^2-6x+7 \end{gathered}[/tex]Answer:
[tex]\text{ The given roots are roots of }x^2-6x+7[/tex]