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0
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Find all real numbers \(x\) so that the product \((x + i)((x + 1) + i)((x + 2) + i)\) is pure imaginary. Enter all the solutions, separated by commas.

 Dec 23, 2019
 #1
avatar+60 
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You might just want to try to expand how it is right now.

 Dec 23, 2019
 #2
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If you expand it, the real part is x^3 + 2x^2 - 3x, which factors as x(x + 3)(x - 1).  So the solutions are 0, -3, and 1.

 Dec 23, 2019
 #3
avatar+287 
0

actually, the answers are 1, -1, and -3. I solved it!!! I did use the expanding advice

 Dec 23, 2019

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