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Is there any way to get this answer without actually looking at the given answers? 

 May 7, 2018
 #1
avatar+101322 
+1

2x^2 + 15x  + 25

 

Here's a method that often works for problems like these...it's a little guesswork....but sometimes it pays off

 

I'm guessing that we can   write  15x   in this  manner......  10x  +  5x

 

2x^2 + 10x  + 5x  +  25

 

I see that  the first constant multiplied by 5 will give me the second constant.....and the third constant  multiplied by 5  will give me the last constant...so......let's factor. the first two  terms and the last two  terms....   [factoring  by "grouping " ]

 

2x ( x + 5 )  + 5 ( x + 5).....  note that  ( x + 5)  is common

 

So......the factorization  is

 

( x + 5 )  ( 2x + 5)

 

 

 

cool cool cool

 May 7, 2018
 #2
avatar+273 
+1

Thanks so much!!!

LaughingFace  May 7, 2018

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