Question 312215
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If a polynomial equation in *[tex \Large x] has a root *[tex \Large \alpha], then the polynomial has a factor of *[tex \Large x\ -\ \alpha].


Since it is a quadratic equation you seek and we know that all quadratic equations have two roots, -3.5 and 2.2 represent all of the roots for the desired equation.  Therefore the equation can be found by multiplying the two factors:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(x\ -\ (-3.5)\right)\left(x\ -\ 2.2\right)\ =\ \left(x\ +\ 3.5\right)\left(x\ -\ 2.2\right)\ =\ 0]


Now all you have to do is FOIL it.



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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