SOLUTION: I am asked to solve and simplify 2h^3-2h^2-12h ___________ ___ h^2-5h+6 can top number even be factored? I couldn't factor this to know if I could continue Thanks for y

Algebra ->  Equations -> SOLUTION: I am asked to solve and simplify 2h^3-2h^2-12h ___________ ___ h^2-5h+6 can top number even be factored? I couldn't factor this to know if I could continue Thanks for y      Log On


   

Question 236580: I am asked to solve and simplify
2h^3-2h^2-12h
_______________
h^2-5h+6
can top number even be factored? I couldn't factor this to know if I could continue
Thanks for your time
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282h%5E3-2h%5E2-12h%29%2F%28h%5E2-5h%2B6%29 Start with the given expression.


%282h%28h%2B2%29%28h-3%29%29%2F%28h%5E2-5h%2B6%29 Factor 2h%5E3-2h%5E2-12h to get 2h%28h%2B2%29%28h-3%29.


%282h%28h%2B2%29%28h-3%29%29%2F%28%28h-2%29%28h-3%29%29 Factor h%5E2-5h%2B6 to get %28h-2%29%2A%28h-3%29.


%282h%28h%2B2%29highlight%28%28h-3%29%29%29%2F%28%28h-2%29highlight%28%28h-3%29%29%29 Highlight the common terms.


%282h%28h%2B2%29cross%28%28h-3%29%29%29%2F%28%28h-2%29cross%28%28h-3%29%29%29 Cancel out the common terms.


%282h%28h%2B2%29%29%2F%28h-2%29 Simplify.


%282h%5E2%2B4h%29%2F%28h-2%29 Distribute.


So %282h%5E3-2h%5E2-12h%29%2F%28h%5E2-5h%2B6%29 simplifies to %282h%5E2%2B4h%29%2F%28h-2%29.


In other words, %282h%5E3-2h%5E2-12h%29%2F%28h%5E2-5h%2B6%29=%282h%5E2%2B4h%29%2F%28h-2%29