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| PAGE: 496 | SET: Exercises | PROBLEM: 1 |
The polynomial is 
.
The general quadratic expression form is 
.
In the above trinomial, 
.You need to find two numbers with a sum of 17 and a product of 
. Make a list of the factors of 30 and look for the of factors with the sum of 17.
The correct factors are 
.
Apply the pattern: 
.
The vales of are substitute in the above equation.
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 of polynomial is 
.
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