SOLUTION: Factor: 3x squared-19X-40

Question 215465: Factor: 3x squared-19X-40
Found 3 solutions by vleith, stanbon, drj:
Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Factor: 3x squared-19X-40
--------
3x^2 - 19x - 40
(x-8)(3x+5)
====================
Cheers,
Stan H.
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
Factor:

Step 1. Need to find two integers m and n where the product is mn=3*(-40)=-120 and their sum m+n=-19.

Step 2. After several tries, the numbers are -24 and 5.

Step 3. Substitute into and group terms as follows:

Step 4. Factor the first and second group with parenthesis.

Step 5. Now factor out x-8 in both groups since it's a common factor.

Step 6. ANSWER:

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J
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