- #1
utkarshakash
Gold Member
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Homework Statement
The condition that [itex]x^4+ax^3+bx^2+cx+d [/itex] is a perfect square, is
Homework Equations
The Attempt at a Solution
If the above polynomial will be a perfect square then it can be represented as
[itex](x-\alpha)^2(x-\beta)^2[/itex] where α and β are the roots of it.This means that two roots of it will be identical.
Am I correct in my assumption?