SOLUTION: Find the quotient: x^4 - 5x^3/7x^3

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Question 153857: Find the quotient: x^4 - 5x^3/7x^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E4+-+5x%5E3%29%2F7x%5E3 Start with the given expression.


%28x%5E4%29%2F7x%5E3+-+%285x%5E3%29%2F7x%5E3 Break up the fraction


%28x%5E%284-3%29%29%2F7+-+%285x%5E%283-3%29%29%2F7 Divide the variable terms by subtracting the exponents. So x%5E4%2Fx%5E3=x%5E%284-3%29 and x%5E3%2Fx%5E3=x%5E%283-3%29


%28x%5E1%29%2F7+-+%285x%5E0%29%2F7 Subtract


%28x%29%2F7+-+%285%2A1%29%2F7 Simplify


x%2F7+-+5%2F7 Multiply


%28x-5%29%2F7 Combine the fractions


So %28x%5E4+-+5x%5E3%29%2F%287x%5E3%29=%28x-5%29%2F7 where x%3C%3E0