
PreCalculus PreCalculus Math Forum 
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April 6th, 2017, 06:39 AM  #1 
Newbie Joined: Mar 2017 From: leuven Posts: 20 Thanks: 0  fairly basic question regarding remarkable products
so i saw this thing in my book: x²2x3=0 <> (x²2x+1)13 = 0 <> (x1)²4 = 0 So i've never seen this +11 thing before When are you allowed to do this? It seems as if they put in the +1 to get a remarkable product, I don't know the specific rules of those but why did they do this? i saw remarkable products 5 years ago but i had some troubles back then and dropped to a lower level course where we didn't see those again. So i don't know all of the specific rules regarding remarkable products also later on they do: (x1)²=4 x1=2 or x1=2 x=3 or x=1 Why can't they do: (x1)²=4 x²1²=4 x²=41 x=√3 This gives a completely different result. I don't know why though I want to be able to spot something like this myself so i'd really like to know why exactly this doesn't work. Last edited by vlekje5; April 6th, 2017 at 06:49 AM. 
April 6th, 2017, 08:04 AM  #2 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 11,087 Thanks: 723  
April 7th, 2017, 07:07 AM  #3 
Newbie Joined: Mar 2017 From: leuven Posts: 20 Thanks: 0 
yeah you're right, i did learn this in my first year of middle school but never had to use it since and forgot it. Just refreshed it using a website, makes alot more sence now. Not paying attention during math class as a kid has its downsides 

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