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We have a vector space V = {p ⊆ Pn (ℝ) : p(α) = 0}, where...

We have a vector space V = {p ⊆ Pn (ℝ) : p(α) = 0}, where n > 1 and α ⊆ ℝ.

1) Determine the basis for V

2) Extend the basis of V to a basis for Pn (ℝ).

Thanks alot in advance.

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