1. The problem statement, all variables and given/known data Let and are two basis of subspaces and [PLAIN]http://www.sosmath.com/CBB/latexrender/pictures/69691c7bdcc3ce6d5d8a1361f22d04ac.png. [Broken] Find one basis of http://www.sosmath.com/CBB/latexrender/pictures/38d4e8e4669e784ae19bf38762e06045.png and [PLAIN]http://www.sosmath.com/CBB/latexrender/pictures/fd36d76c568c236aaaad68e084eef495.png. [Broken] 2. Relevant equations -Vector space -Basis -Polynomials 3. The attempt at a solution Could someone explain the method for finding a basis for a space of polynomials. I know that with we need to find RREF of an augmented matrix, and read a basis from matrix, but how to do it with polynomials?