Polynomial/Zeroes in -1,0,1/Degree up to 6/Dimension/Exercise

Show that the set of all real polynomials of degree ${}\leq 6$, which have a zero at ${}-1$, at ${}0$ and at ${}1$, is a finite dimensional subspace of ${}\mathbb {R} [X]$. Determine the dimension

of this vector space.

Create a solution