Toolkit 32Remainder of Polynomial DivisionA(x)÷B(x): A(x)=B(x)Q(x)+R(x),deg(R(x))<deg(B(x))A(x)\div B(x):\;A(x)=B(x)Q(x)+R(x),\quad \deg(R(x))<\deg(B(x))A(x)÷B(x):A(x)=B(x)Q(x)+R(x),deg(R(x))<deg(B(x))⇒ If B(x)=0, then A(x)=R(x)\Rightarrow\text{ If }B(x)=0,\text{ then }A(x)=R(x)⇒ If B(x)=0, then A(x)=R(x)Related ProblemsCoreAMC 10B 2022 (Problem 21)AMC 12A 2022 (Problem 21)AMC 12B 2021 Spring (Problem 20)AMC 10A 2025 (Problem 7)