SOLUTION: 3x^2+18x-48 ___________ 2x+16 Lowest terms Thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 3x^2+18x-48 ___________ 2x+16 Lowest terms Thank you      Log On


   

Question 181848This question is from textbook
: 3x^2+18x-48
___________
2x+16
Lowest terms Thank you This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%5E2%2B18x-48%29%2F%282x%2B16%29 Start with the given expression


%283%28x%2B8%29%28x-2%29%29%2F%282x%2B16%29 Factor the numerator


%283%28x%2B8%29%28x-2%29%29%2F%282%28x%2B8%29%29 Factor the denominator


%283%2Ahighlight%28%28x%2B8%29%29%28x-2%29%29%2F%282%2Ahighlight%28%28x%2B8%29%29%29 Highlight the common terms.


%283%2Across%28%28x%2B8%29%29%28x-2%29%29%2F%282%2Across%28%28x%2B8%29%29%29 Cancel out the common terms.


%283%28x-2%29%29%2F%282%29 Simplify


%283x-6%29%2F2 Distribute


=======================================

Answer:


So %283x%5E2%2B18x-48%29%2F%282x%2B16%29 simplifies to %283x-6%29%2F2


In other words, %283x%5E2%2B18x-48%29%2F%282x%2B16%29=%283x-6%29%2F2 where x%3C%3E-8