SOLUTION: i don't understand how to divide polynomials and need some examples to look at to walk me through it please

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: i don't understand how to divide polynomials and need some examples to look at to walk me through it please      Log On


   

Question 207233This question is from textbook Beginning Algebra
: i don't understand how to divide polynomials and need some examples to look at to walk me through it please This question is from textbook Beginning Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Example: Divide and simplify %28x%5E2%2B5x%2B6%29%2F%28x%5E2%2B6x%2B9%29


%28x%5E2%2B5x%2B6%29%2F%28x%5E2%2B6x%2B9%29 Start with the given expression.


%28%28x%2B3%29%2A%28x%2B2%29%29%2F%28x%5E2%2B6x%2B9%29 Factor x%5E2%2B5x%2B6 to get %28x%2B3%29%2A%28x%2B2%29.


%28%28x%2B3%29%2A%28x%2B2%29%29%2F%28%28x%2B3%29%28x%2B3%29%29 Factor x%5E2%2B6x%2B9 to get %28x%2B3%29%5E2.


%28highlight%28%28x%2B3%29%29%28x%2B2%29%29%2F%28highlight%28%28x%2B3%29%29%28x%2B3%29%29 Highlight the common terms.


%28cross%28%28x%2B3%29%29%28x%2B2%29%29%2F%28cross%28%28x%2B3%29%29%28x%2B3%29%29 Cancel out the common terms.


%28x%2B2%29%2F%28x%2B3%29 Simplify.


So %28x%5E2%2B5x%2B6%29%2F%28x%5E2%2B6x%2B9%29 simplifies to %28x%2B2%29%2F%28x%2B3%29.


In other words, %28x%5E2%2B5x%2B6%29%2F%28x%5E2%2B6x%2B9%29=%28x%2B2%29%2F%28x%2B3%29 where x%3C%3E-3