SOLUTION: Reduce the rational expression to lowest terms. 2x + 6 / 2x squared + 14x + 24

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Reduce the rational expression to lowest terms. 2x + 6 / 2x squared + 14x + 24      Log On


   

Question 296704: Reduce the rational expression to lowest terms.
2x + 6 / 2x squared + 14x + 24
Found 2 solutions by jim_thompson5910, unlockmath:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282x+%2B+6%29%2F%282x%5E2+%2B+14x+%2B+24%29 Start with the given expression.


%282%28x+%2B+3%29%29%2F%282x%5E2+%2B+14x+%2B+24%29 Factor the numerator.


%282%28x+%2B+3%29%29%2F%282%28x%2B3%29%28x%2B4%29%29 Factor the denominator.


Highlight the common terms.


Cancel out the common terms.


1%2F%28x%2B4%29 Simplify.


So %282x+%2B+6%29%2F%282x%5E2+%2B+14x+%2B+24%29 simplifies to 1%2F%28x%2B4%29


In other words, %282x+%2B+6%29%2F%282x%5E2+%2B+14x+%2B+24%29=1%2F%28x%2B4%29

Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's first rewrite this 2x + 6 / 2x squared + 14x + 24 as:
2x + 6 / 2x^2 + 14x + 24 Both top and bottom and be factored as:
2(x+3)/2(x+3)(x+4) The (x+3) and 2 cancel out to leave us:
1/(x+4)
Make Sense?
RJ
Check out a book I wrote:
www.math-unlock.com