We know, if a is the zero of f(t), then f(a) must be 0.
Then:
When t=0,
f(0)=(0)2−2(0)
=0−0=0.
That is, 0 is a root of f(t).
Now, when t=2, f(2)=(2)2−2(2)=0
=4−4=0
That is, 2 is a root of f(t).
Hence the statement is true.
Therefore, option A is correct.
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