SOLUTION: Simplify, leaving each answer in factored form. State any excluded values x^5 + x^4 - 4x^3 - 4x^2 divided by x^5 + 4x^4 + 4x^3

Algebra ->  Rational-functions -> SOLUTION: Simplify, leaving each answer in factored form. State any excluded values x^5 + x^4 - 4x^3 - 4x^2 divided by x^5 + 4x^4 + 4x^3      Log On


   

Question 1032517: Simplify, leaving each answer in factored form. State any excluded values
x^5 + x^4 - 4x^3 - 4x^2 divided by x^5 + 4x^4 + 4x^3
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E5+%2B+x%5E4+-+4x%5E3+-+4x%5E2%29%2F%28x%5E5+%2B+4x%5E4+%2B+4x%5E3%29

%28x%5E2%28x%5E3%2Bx%5E2-4x-4%29%29%2F%28x%5E3%28x%5E2%2B4x%2B4%29%29

Simple use of Rational Roots Theorem and synthetic division...
%28x%5E2%28x-2%29%28x%2B1%29%28x%2B2%29%29%2F%28x%5E3%28x%2B2%29%5E2%29

To actually simplify that will hide the realistic meaning of the expression, but canceling the factors of 1 will give...
highlight%28%28%28x-2%29%28x%2B1%29%29%2F%28x%28x%2B2%29%29%29
The restrictions are these: system%28x%3C%3E0%2Cx%3C%3E-2%29