SOLUTION: Ok, I'm stumped. Divide the rational expressions. x^4-x^3+x^2+x / x^3-4x^2+x-4 (these are the numerators) 2x^3+2x^2+x+1 / 2x^3-8x^2+x-4 (these are the denominators) Here's

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Question 103551: Ok, I'm stumped. Divide the rational expressions.
x^4-x^3+x^2+x / x^3-4x^2+x-4 (these are the numerators)
2x^3+2x^2+x+1 / 2x^3-8x^2+x-4 (these are the denominators)
Here's what I have.
X(x^3-x^2+x)* 2x^2(x-4)+(x-4) nuerators
2x^2(x+1)(x+1) * x^2 (x-4)(x-4) denominators
now I'm stumped on factoring the first numerator

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression


Multiply the first fraction by the reciprocal of the second fraction


Factor out an x out of the first numerator


Factor the first denominator through the use of factoring by grouping



Factor the second denominator through the use of factoring by grouping



Cancel like terms



Simplify


Since this expression cannot be simplified or factored further, this is our answer

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