SOLUTION: Find a polynomial with the given zeros. i,i,2

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Question 167738: Find a polynomial with the given zeros.
i,i,2

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Since , , and are given zeros this means that:


, , and


Get all terms to the left side in each case


, , and


Now use the zero product property in reverse to join the factors.





FOIL to get





Rearrange the terms.



Expand


Distribute


Group like terms.


Factor out the GCF from each group


Rearrange the terms.


-------------------------------------------
Answer:

So the polynomial with roots of , , and is





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