Question

2x^2-x-1／x-2,求商和余数.

Answer 1

2x^2-x-1=2x(x-2)+4x-x-1=2x(x-2)+3x-1=2x(x-2)+3(x-2)+6-1=2x(x-2)+3(x-2)+5=(2x+3)(x-2)+5

所以 商是 2x+3 ,余数是 5 .

方法就是配和凑.