Answer Happy

Can you please show proof for B being a subspace of R3 and C NOTbeing a subspace of P3. Thanks
Consider the following sets. ^={()₁ A € R³ : 3x - 4y+z=0 (y+z=0} B = {O) · () - (C) + C) € R³ : = A μ -6 -8 C = {p = P3 : p(x) = x³ + ax² +bx+c where a, b, c are real numbers Select all of the following which are true and 6 x 6y+8z=0 A is a subspace of R³ . B is a subspace of R³ C is a subspace of P3.