SOLUTION: please help me with this problem find the quotient 6y6-9y4+12y2 3y2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: please help me with this problem find the quotient 6y6-9y4+12y2 3y2      Log On


   

Question 183052: please help me with this problem
find the quotient
6y6-9y4+12y2
3y2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%286y%5E6-9y%5E4%2B12y%5E2%29%2F%283y%5E2%29 Start with the given expression.


%283y%5E2%282y%5E4-3y%5E2%2B4%29%29%2F%283y%5E2%29 Factor out the GCF 3y%5E2


%28highlight%283y%5E2%29%282y%5E4-3y%5E2%2B4%29%29%2Fhighlight%283y%5E2%29 Highlight the common terms.


%28cross%283y%5E2%29%282y%5E4-3y%5E2%2B4%29%29%2Fcross%283y%5E2%29 Cancel out the common terms.


2y%5E4-3y%5E2%2B4 Simplify


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

Answer:

So %286y%5E6-9y%5E4%2B12y%5E2%29%2F%283y%5E2%29 simplifies to 2y%5E4-3y%5E2%2B4


In other words, %286y%5E6-9y%5E4%2B12y%5E2%29%2F%283y%5E2%29=2y%5E4-3y%5E2%2B4 where y%3C%3E0