No matter what the value of X is, the value of polynomial 2x ^ 4-4x ^ 2-1 is always greater than that of X ^ 4-2x ^ 2-4 Detailed process

No matter what the value of X is, the value of polynomial 2x ^ 4-4x ^ 2-1 is always greater than that of X ^ 4-2x ^ 2-4 Detailed process

Let a = 2x ^ 4-4x ^ 2-1, B = x ^ 4-2x ^ 2-4
A-B=X^4-2X^2+3=(X^2-1)^2+2>0
So a > b
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