Q3: (10 points) Let V=P3 and let S={fV:f(0)=0,f(1)=0}. (a) how that S is a subspace of V s0ax2+bx+c (1) f(0)=(0)0)2+ac (2) (f+g)(0)=f(0)+(g(0))=0+0=5 let f1,gs (2) (f)(0)=f(0);0=0 So ithporaspace. (b) Find a basis for S (b) Find a basis for S