Ta có $B(t) -A(t)=-4t^{3}+3t^{2}+8t$, suy ra $B(t) =-4t^{3}+3t^{2}+8t+A(t)$
Do đó $B(t) =-4t^{3}+3t^{2}+8t+(2t^{4}-8t^{3}+9t+3)=2t^{4}-12t^{3}+3t^{2}+17t+3$
Ta có $B(t) -A(t)=-4t^{3}+3t^{2}+8t$, suy ra $B(t) =-4t^{3}+3t^{2}+8t+A(t)$
Do đó $B(t) =-4t^{3}+3t^{2}+8t+(2t^{4}-8t^{3}+9t+3)=2t^{4}-12t^{3}+3t^{2}+17t+3$