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

## Answer This Question

## Related Questions

- college-Linear Algebra - Let V={f(x)=c0 + c1x + c2x2 : 01 f(x)dx=1}. In other ...
- calc ii - if we know that 12 is less than or equal to f(x) which is less than or...
- math - For every prime p consider all polynomials f(x) with integer coefficients...
- math - For every prime p consider all polynomials f(x) with integer coefficients...
- Calculus II - Fed loves polynomials with rational coefficients and only such ...
- Math Word Problem - Let A be the set containing all rational numbers that are ...
- Math - Tanker boats cannot be in the bay when the depth of water is less or ...
- calculus - Consider the function f(x)=65x−cos(x)+2 on the interval 0 less ...
- math - True or False? 1. The product of 2 linear polynomials is quadratic 2. ...
- Calculus - Consider the function f(x)=6x-cos(x)+5 on the interval 0 is less than...

More Related Questions