Step 1. We need to find two integers A and B that A*B=ac and A+B=b where
in order to be factorable and a=2, b=20 and c=50
Step 2. In the above example, then A*B=(2)(50)=100 and A+B=20.
Step 3. After trial and error the numbers are A=10 and B=10
Step 4. Using step 3, we can use grouping as follows
where
Step 5. Factor out 2x in first group and 10 in second group
Step 6. Factor out (x+5) since it is common in both groups.
ANSWER
We can use the FOIL method to verify
I hope the above steps were helpful.
For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
