SOLUTION: what is the product of three consecutive odd integers if the middle integer is p-5

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Question 986504: what is the product of three consecutive odd integers if the middle integer is p-5
Answer by Edwin McCravy(20054) About Me  (Show Source):
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what is the product of three consecutive odd integers if the middle integer is p-5
The middle odd integer is p-5.

The smallest odd integer is 2 less than the middle integer, or (p-5)-2, or p-7.
The largest odd integer is 2 more than the middle integer, or (p-5)+2, or p-3.

So the product = smallest×middle×largest = (p-7)(p-5)(p-3) = p³-15p²+71p-105


Edwin