<PRE><B>Question 757017</B>
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If *[tex \LARGE c\ =\ -3] is a root of *[tex \LARGE c^3\ +\ c^2\ -\ 7c\ -3\ =\ 0], then *[tex \LARGE c\ +\ 3] must be a factor of *[tex \LARGE c^3\ +\ c^2\ -\ 7c\ -\ 3]


Use either polynomial long division (&lt;a href=&quot;http://www.purplemath.com/modules/polydiv2.htm&quot;&gt;Purple Math Polynomial Long Division&lt;/a&gt;) to derive the other (quadratic) factor by dividing *[tex \LARGE c^3\ +\ c^2\ -\ 7c\ -\ 3] by *[tex \LARGE c\ +\ 3], or by using synthetic division ((&lt;a href=&quot;http://www.purplemath.com/modules/synthdiv.htm&quot;&gt;Purple Math Synthetic Division&lt;/a&gt;) to find the coefficients of the quadratic factor.  Either way, solve the resulting quadratic equation.  The roots will be irrational, so you will not be able to solve by factoring; use Completing the Square or the Quadratic Formula.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
&lt;font face=&quot;Math1&quot; size=&quot;+2&quot;&gt;Egw to Beta kai to Sigma&lt;/font&gt;
My calculator said it, I believe it, that settles it
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