In Exercises 9 to 16, factor each trinomial product.
The trinomial .
Factorizing a polynomial is to express the polynomial as a product of simpler expressions such that each of the simpler expressions divides the polynomial completely and also the product of all the simpler expressions gives the polynomial.
First look for a common factor (GCF) of the terms , and .
But, the GCF is 1.
Now, let us factorize the given expression by the reverse FOIL method.
First factorize the last term constant of the expression such that the sum of the factors gives the coefficient of the middle term .
Thus, factorize as , such that the sum of the factors gives .
Now, split the middle term as .
Hence the given expression becomes
Since; addition is associative,
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