Consider the set of polynomials P2={ax2+bx+c}P_2 = \{ax^2+bx+c\}P2={ax2+bx+c}. Is the set {1,x,x2}\{1, x, x^2\}{1,x,x2} linearly independent?
Yes
No
Depends on the field
Only if x=0x=0x=0