How to factorize splitting the middle term

Question

anonymous · Answer

We should better take an example here.. Right??

factor · Answer

yup

factor · Answer

go ahead

factor · Answer

explain me with an example please

anonymous · Answer

So, let us factor firstly a simple one..

$Example : Factorize \; \; \;  x^2 + 4x + 3$

anonymous · Answer

Firstly you must compare it with standard equation given as: $ax^2 + bx + c$

Can you tell me on comparison, what are values of a,b and c?

factor · Answer

say WHAT

factor · Answer

yup @waterineyes

anonymous · Answer

first of all we w'll take lcm of by multiplying 3 to $x^2$ 
now, by taking lcm we get $3*1$ so

in middle we add those numbers    which ...if we add them then we get 4x 
|dw:1407746458179:dw|

factor · Answer

okay

anonymous · Answer

here we add $x$ instead of co-efficient ''1'' 
now $x^2+3x+x+3$
OK

anonymous · Answer

now we we'll make factors by taking common
$x{(x+3})~+~1(x+3)$

$(x+1)(x+3)$ this is answer
more ?