AIR MATH

Math Question

Patricia is studying a polynomial function \( f(x) \). Three given roots of \( f(x) \) are \( -11-\sqrt{2}, 3+4 i \), and 10 . Patricia concludes that \( f(x) \) must be a polynomial with degree 4 . Which statement is true?
Patricia is correct because \( -11+\sqrt{2} \), must be a root.
Patricia is correct because \( 3-4 i \) must be a root.
Patricia is not correct because both \( 3-4 i \) and \( 11+\sqrt{2} / \) must be roots.
Patricia is not correct because both \( 3-4 i \) and \( -11+\sqrt{2} \), must be roots.
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