Polynomial Spaces Learning Goal: This problem shows us that we can treat polynomials of degree less than or equal to m as a vector space. Furthermore, many operations on polynomials are linear operations in this vector space and can be represented by matrices. Show that the set of all polynomials of the form p(t) = p0 p1t p2t^2 p3t^3, where t [a,b] and the coefficients pk are real scalars, forms a vector space. Call this vector space V. Note: Any of the coefficients pk can be zero