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