Is $\left<(X+1)^4 + 4X^4\right>$ radical in $\mathbb{Q}[X]$?
I'm not even sure where to start here. I know that an ideal $I$ is radical if $I = \sqrt{I}$, but is there a nice way of showing this? I feel like I'm missing something!
Is $\left<(X+1)^4 + 4X^4\right>$ radical in $\mathbb{Q}[X]$?
I'm not even sure where to start here. I know that an ideal $I$ is radical if $I = \sqrt{I}$, but is there a nice way of showing this? I feel like I'm missing something!
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