SOLUTION: factor completely:
3x^2-13x+14
Algebra.Com
Question 214081This question is from textbook Intermediate Algebra
: factor completely:
3x^2-13x+14
This question is from textbook Intermediate Algebra
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Factor completely:
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=3, b=-13 and c=14
Step 2. In the above example, then A*B=(3)(14)=42 and A+B=-13.
Step 3. After trial and error the numbers are A=-6 and B=-7
Step 4. Using step 3, we can use grouping as follows
where
Step 5. Factor out 3x in first group and -7 in second group
Step 6. Factor out (x-2) 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.
And good luck in your studies!
Respectfully,
Dr J
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