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For this case we have a quadratic polynomial given by:
Where:
We must factor, for this we follow the steps below:
Step 1:
The term of the medium must be rewritten as the sum of two terms, whose sum is -7 and the product is :
Then, the term of the medium, fulfilling the two previous conditions, can be written as:
We check:
So, we have:
Step 2:
The maximum common denominator (the largest integer that divides them without leaving residue) of each group is factored
Step 3:
We take common factor :
Thus, the expression can be factored as:
Answer: