SOLUTION: Factorise 4x^2+12x+9 lamapawan76@gmail.com

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Question 1102397: Factorise 4x^2+12x+9
lamapawan76@gmail.com

Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
4x^2+12x+9
---------
The "ends" are perfect squares.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
IN THIS CASE:
The terms of 4x%5E2%2B12x%2B9 are
4x%5E2=%28red%282x%29%29%5E2 ,
9=%28green%283%29%29%5E2 , and
12x=2%28red%282x%29%29%28green%283%29%29 , so


IN GENERAL:
When you have trouble factoring a polynomial of degree 2 with a coefficient different from %22+%22+%2B-+1 in front of x%5E2 ,
you can split the term in x into two terms, and factor by parts,
like this:
.
To find how to split the term in x,
look for factors of the product of the other two coefficients
(in this case, factors of 4%2A9=36 ).
Look for a pair that adds up to the coefficient of x,
and when multiplied gives the product of the other two coefficients.
In this case 6%2A6=36 and 6%2B6=12 .