The expression is
.
The general factor trinomial form is
.
In the above trinomial,
.
Since c is positive and b is positive, you need to find two positive factors with a sum of 15 and product of 44.
\Make an organized list of the factors of 44, and look for the pair of factors with a sum of 15.
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Apply the pattern form:
when
.
because
.
Check:To check the solution by multiplying the two factors and this result should be equal to the original expression.
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Rewrite as the sum of two products.
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Apply distributive property:
.


Combine like terms.
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The factor form of expression is
.