SOLUTION: if X^4+aX^3-3X^2+2aX+a^2 is aperfect square and has a factor (X+2). find (a), when (a) has this v�lue to obtain the square root of the expression in its factorized form

Question 1048380: if X^4+aX^3-3X^2+2aX+a^2 is aperfect square and has a factor (X+2). find (a), when (a) has this v�lue to obtain the square root of the expression in its factorized form
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

This must be an identity



If x=0







If x=1









Substituting 









Discriminant = 

So it has imaginary solutions.  We ignore 


Substituting 











Discriminant = 

That has real solutions













 









So







Edwin

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