AllExperts > Calculus 
Search      
Calculus
Volunteer
Answers to thousands of questions
 Home · More Calculus Questions · Answer Library  · Encyclopedia ·
More Calculus Answers
Question Library

Ask a question about Calculus
Volunteer
Experts of the Month
Expert Login

Awards

About Us
Tell friends
Link to Us
Disclaimer

 
 
 
 
About Scotto
Expertise
Any kind of mathematics (calculus, analysis, game theory, linear approximation, finite differences, linear regression, linear programming, numerical analysis, probability, statistics, etc.). I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology.

Experience
Experience in the area: I have tutored students in all areas of mathematics for over 20 years. Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors. Awards and Honors: I have passed Actuarial tests 100, 110, and 135.

Publications
Maybe not a publication, but I have respond to well oveer 3000 questions on the PC. That's around 2,000 in basic math and 1,000 in advanced math.

Education/Credentials
I aquired well over 40 hours of upper division courses. This was well over the number that were required. I graduated with honors in both my BS and MS degree from Oregon State University. I was allowed to jump into a few junior level courses my sophomore year.

Awards and Honors
I have been nominated as the expert of the month several times. All of my scores right now are at least a 9.8 average (out of 10).

Past/Present Clients
My past clients have been students at OSU, students at the college in South Seattle, referals from a company, friends and aquantenances, people from my church, and people like you.

 
   

You are here:  Experts > Teens > Homework/Study Tips > Calculus > multiplying polynomials

Calculus - multiplying polynomials


Expert: Scotto - 8/27/2008

Question
2x(-3x+3)(-2x+6)  

when i multiply by 2x first i get
24x^4-96x^3+72x^2

when i multiply the parentheses together first i get
12x^3-48x^2+36x  

how is this happening?  is there a specific rule for when to multiply what?  i was under the impression that it doesn't matter what order you do multiplication in.

Answer
There are two ways to multiply this problem.
(2x(-3x+3))(-2x+6) or 2x((-3x+3)(-2x+6)).
The first way you did the problem involved multiply both the first and second set of parenthises by 2x.  This is only done if the parenthises are added together, as in ((-3x+3) + (-2x+6)), in which case we get an entirely different answer.

Consider 2*(3*5).  This is clearly 30.  In your first approach to the problem, this would be said to be 2*3 * 2*5 = 6*10 = 60.  Looking at the real answer, we can see we multiplied by an extra 2.

Add to this Answer   Ask a Question


 
User Agreement | Privacy Policy | Kids' Privacy Policy | Help
Copyright  © 2008 About, Inc. AllExperts, AllExperts.com, and About.com are registered trademarks of About, Inc. All rights reserved.