What will be the basis for the space of cubic polynomials $p$ such that $p(3) = 0$?
I know that: A natural basis for the vector space of cubic polynomials is $p(3)$ is $\langle 1, x, x^2, x^3 \rangle$.
What will be the basis for the space of cubic polynomials $p$ such that $p(3) = 0$?
I know that: A natural basis for the vector space of cubic polynomials is $p(3)$ is $\langle 1, x, x^2, x^3 \rangle$.