Posted by **Amanda** on Wednesday, October 29, 2008 at 11:26pm.

Let V={f(x)=c0 + c1x + c2x2 : 01 f(x)dx=1}. In other words, V is the set of all polynomials of degree 2 or less such that their integral from 0-1 is equal to 1.

a)Show that the sum of two polynomials in V is not in V

b)Show that an affine combination of two polynomials in V is in V

c)Give a parametric description of the polynomials in V

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