5. 已知一個多項式除以(x–1)餘 2，且除以(x –2)餘 1，試問該多項式有可能是下列何者？
(A) 2024(x–1)(x –2) –2(x –2)+1
(B) 2024(x–1)(x –2) –3(x –1)+2
(C) 2024(x–1)(x –2)+(x –1)+2
(D) 2024(x–1)(x –2) –(x –2)+1

這是一道關於多項式除法與餘式定理的經典考...