3. We let ??(?) denote the set of all polynomials of degree at most n with...

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Advance Math

3. We let ??(?) denote the set of all polynomials of degree atmost n with real coefficients.
Let ? = {? + ??3 |?, ? ??? ???? ???????}. Prove that T is avector space using standard addition and scalar multiplication ofpolynomials in ?3(?).

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