SOLUTION: x4-5x2+4 ________ How do I Simplify this rational expression x2+x+2

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Question 1051928: x4-5x2+4
________ How do I Simplify this rational expression
x2+x+2
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x4-5x2+4
________ How do I Simplify this rational expression
x2+x+2

(x^4-5x^2+4)/(x^2+x+2)

%28x%5E4-5x%5E2%2B4%29%2F%28x%5E2%2Bx%2B2%29

%28%28x%5E2-4%29%28x%5E2-1%29%29%2F%28x%5E2%2Bx%2B2%29
The numerator is still factorizable, but not the denominator. The original rational expression seems to not be simplifiable.

Also, if you try polynomial division for the given rational expression, the result will be x%5E2-x-5%2B%287x%2B14%29%2F%28x%5E2%2Bx%2B2%29.