Question 184789
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^3 + x^2 = 0]


Each of your terms has <i><b>at least</b></i> two factors of <i>x</i>, so re-write it like this:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\cdot x + x^2\cdot 1 = 0]


Now apply the distributive property:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2(x + 1) = 0]


Now using the Zero Product Rule you have:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  x = 0]


or


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  x = 0]


or


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  x +1 = 0 \ \ \Rightarrow\ \ x = -1]



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