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

space because *

O We can find two polynomials P(x) and Q(x) for which P(x).Q(x)#Q(x)=P(x)

O It is not closed under addition.

O We can find a polynomial P(x) such that (c+d)P(x)+cP(x)+dP(x).

O We can find a polynomial P(x) for which 1.P(x)#P()