Question 759076
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If *[tex \LARGE \alpha] is a root of a polynomial equation, then *[tex \LARGE x\ -\ \alpha] is a factor of the polynomial.


*[tex \LARGE \left(x\ -\ 3\ -\ \sqrt{3}\right)] and *[tex \LARGE \left(x\ -\ 3\ +\ \sqrt{3}\right)] are the factors of your polynomial.  Just multiply them.  Hint:  Treat *[tex \LARGE 3\ \pm\ \sqrt{3}] as single numbers.  Remember the product of a pair of conjugates is the difference of two squares.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
<font face="Math1" size="+2">Egw to Beta kai to Sigma</font>
My calculator said it, I believe it, that settles it
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