Question

The set of all polynomials of degree 6 under the standard addition and scalar multiplication operations is not a vector space because *

Answer 1

The set of all polynomials of degree 6 under the standard addition and scalar multiplication operations is not a vector space because We can find two polynomials P(x) and Q(x) for which P(x) Q(x) is not eqaul to Q(x) P(x).