Determine the kernel and range of each of the following linear operators on P3. (a) L(p(x)) =

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Determine the kernel and range of each of the following linear operators on P3.
(a) L(p(x)) = xp'(x)
(b) L(p(x)) = p(x) - p'(x)
(c) L(p(x)) = p(0)x + p(1)
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