SOLUTION: divide & check 56x*7-64x*6+56x*4 ----------- ------- 8x*4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: divide & check 56x*7-64x*6+56x*4 ----------- ------- 8x*4      Log On


   



Question 195726: divide & check
56x*7-64x*6+56x*4
-------------------
8x*4

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: use ^ for exponent instead of *


%2856x%5E7-64x%5E6%2B56x%5E4%29%2F%288x%5E4%29 Start with the given expression.


%288x%5E4%287x%5E3-8x%5E2%2B7%29%29%2F%288x%5E4%29 Factor out the GCF 8x%5E4 from the numerator


%28highlight%288x%5E4%29%287x%5E3-8x%5E2%2B7%29%29%2Fhighlight%288x%5E4%29 Highlight the common terms.


%28cross%288x%5E4%29%287x%5E3-8x%5E2%2B7%29%29%2Fcross%288x%5E4%29 Cancel out the common terms.


7x%5E3-8x%5E2%2B7 Simplify


So %2856x%5E7-64x%5E6%2B56x%5E4%29%2F%288x%5E4%29=7x%5E3-8x%5E2%2B7 where x%3C%3E0



Note: you can use a graph to verify your answer.