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| PAGE: 510 | SET: Exercises | PROBLEM: 16 |
The polynomial is 
.
The GCF of 
is 1.
Since the first term, 
is not a perfect square, this is not a perfect square terminal.
The general quadratic expression form is 
.
In the above trinomial, 
.Since 
is negative, so the factors m and p have opposite signs.So either m or p is negative, but not both.
Since 
is positive, the factor with the greater absolute value is also positive.
You need to find one factor of each pair is negative with a sum of 39 and a product of 
.
Make a list of the factors of 
and look for the of factors with the sum of 39.
The correct factors are 
.
Apply the pattern: 
.
.
Group terms with common factors.
Factors the GCF from each group.
Notice that 
is common in both groups, so it becomes the GCF.
Apply distributive property: 
.
The factors form of polynomial is 
.
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