SOLUTION: How do you express (x^2-3)^3-(2-2x^2)^2+3 (x^2-3) in the form (x^4+Ax^2+B)(x^2+C) where A, B and C are integers?

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Question 1157612: How do you express (x^2-3)^3-(2-2x^2)^2+3 (x^2-3) in the form (x^4+Ax^2+B)(x^2+C)
where A, B and C are integers?

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
How do you express (x^2-3)^3-(2-2x^2)^2+3 (x^2-3)
in the form
(x^4+Ax^2+B)(x^2+C) where A, B and C are integers?


After multiplying both sides out,



and equating coefficients, we get this system of equations.



But that system does not have integer solutions. 

So your problem is impossible. Did you copy something wrong?

Edwin

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