SOLUTION: please help. write the equation of the root 6,-2/3 thanks for your help

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Question 140846: please help. write the equation of the root
6,-2/3 thanks for your help

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.





Expand and multiply




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

So the polynomial with roots of and is





Notice how if we graph , we can visually verify our answer

Graph of with roots of and

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