Hello

Let $\displaystyle P_n (R)= \left\{{a_0 + a_1x + a_2x^2 + ... + a_nx^n: a_i \in{R}}\right\}$ be our set.

The sum and the scalar product are defined normally.

How can i prove that this set is with those operations is isomorphic to$\displaystyle R^n^+^1$ ?

Thanks