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)   (Show Source): You can put this solution on YOUR website!
4x^2+12x+9
---------
The "ends" are perfect squares.

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
IN THIS CASE:
The terms of are
,
, and
, so


IN GENERAL:
When you have trouble factoring a polynomial of degree 2 with a coefficient different from in front of ,
you can split the term in into two terms, and factor by parts,
like this:
.
To find how to split the term in ,
look for factors of the product of the other two coefficients
(in this case, factors of ).
Look for a pair that adds up to the coefficient of ,
and when multiplied gives the product of the other two coefficients.
In this case and .

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