Problem:
Solution:
Part (a) is simple.
A point is in the variety if it is a root.
For part (b).
$ g \in I(V(f)) \Leftrightarrow g(a_i) = 0 \text{ }, \forall i \Leftrightarrow g = f_{\text{red}}h \Leftrightarrow g \in \langle f_{\text{red}} \rangle $
Solution:
Part (a) is simple.
A point is in the variety if it is a root.
For part (b).
$ g \in I(V(f)) \Leftrightarrow g(a_i) = 0 \text{ }, \forall i \Leftrightarrow g = f_{\text{red}}h \Leftrightarrow g \in \langle f_{\text{red}} \rangle $
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