(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

For I = [a,b], define: P_{3}(I) = {v: v is a polynomial of degree ≤ 3 on I, i.e., v has the form v(x) = a_{3}x^{3}+ a_{2}x^{2}+ a_{1}x + a_{0}}. How to show v is uniquely determined by v(a), v'(a), v(b), v'(b).

2. Relevant equations

3. The attempt at a solution

I'm not exactly sure what I'm being asked to do here. I don't need the problem solved, just a nudge in the right direction.

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# Homework Help: Basis functions for polynomial

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