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

LaughingFace
May 7, 2018

#1**+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)

CPhill
May 7, 2018