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Is this pair of vector spaces isomorphic? If so, find an isomorphism T: V-->W.

V= R

_{4}, W = {p[itex]\in[/itex]P

_{4}(R) | p(0) = 0}

Here is the issue. What kind of polynomial am I examining?

It says it is the set of polynomials of degree 4 s.t p(0) = 0.

What does the p(0) = 0 mean? For example if I used the set of standard basis vectors of P

_{4}(R), what would the set of p(0) = 0 look like? All I could picture is

P(1) = 1 , p(x) = 0 , p(x

^{2}) = 0,.....p(x

^{4}) = 0.

Is that the right way to look at it?

There was no specified transformation given either.

Thanks