Question: How to approach this? Question 1 [4 Marks] Let Po(x), . . ., Pn(I) be n + 1 polynomials of degree 0, 1, . .

How to approach this?

Question 1 [4 Marks] Let Po(x), . . ., Pn(I) be n + 1 polynomials of degree 0, 1, . . . , n, re- spectively, over a field F. Prove that {Po(r), . . . . p., (x) } is a basis of P., (F), the vector space of all polynomials of degree n or less over F

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