SOLUTION: This is another problem I am struggling with. Would someone please show me how to go about solving it? Divide and check 16x^7 - 24x^6 + 20x ___________ _____ 4x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: This is another problem I am struggling with. Would someone please show me how to go about solving it? Divide and check 16x^7 - 24x^6 + 20x ___________ _____ 4x      Log On


   



Question 590912: This is another problem I am struggling with. Would someone please show me how to go about solving it?
Divide and check
16x^7 - 24x^6 + 20x
_________________
4x

Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%2816x%5E7+-+24x%5E6+%2B+20x%29%2F%284x%29

%284x%284x%5E6+-+6x%5E5+%2B+5%29%29%2F%284x%29

%28highlight%284x%29%284x%5E6+-+6x%5E5+%2B+5%29%29%2F%28highlight%284x%29%29

%28cross%284x%29%284x%5E6+-+6x%5E5+%2B+5%29%29%2F%28cross%284x%29%29

4x%5E6+-+6x%5E5+%2B+5

So %2816x%5E7+-+24x%5E6+%2B+20x%29%2F%284x%29 completely simplifies to 4x%5E6+-+6x%5E5+%2B+5

In other words, %2816x%5E7+-+24x%5E6+%2B+20x%29%2F%284x%29=4x%5E6+-+6x%5E5+%2B+5 for all values of x where x%3C%3E0.
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Jim
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Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Here's one way!
%2816x%5E7-24x%5E6%2B20x%29%2F4x Factor a 4x from the numerator.
cross%284x%29%284x%5E6-6x%5E5%2B5%29%2Fcross%284x%29 Cancel the 4x's as shown.
4x%5E6-6x%5E5%2B5
Check the solution by multiplying by 4x.