Find a polynomial of degree $$ n $$ that has the given zero(s). (There are many correct answers.) $$ x=-\sqrt{6}, \sqrt{6} ; n=2 $$ $$ f(x)=\square $$

Question

Todd Lambert · Accepted Answer

A polynomial of degree 2 with zeros $$ x = -\sqrt{6} $$ and $$ x = \sqrt{6} $$ is $$ f(x) = x^2 - 6 $$.

Find a polynomial of degree \( n \) that has the given zero(s). (There are many correct answers.) \[ x=-\sqrt{6}, \sqrt{6} ; n=2 \] \( f(x)=\square \)

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Find a polynomial of degree \( n \) that has the given zero(s). (There are many correct answers.) \[ x=-\sqrt{6}, \sqrt{6} ; n=2 \] \( f(x)=\square \)

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