Question

已知(2x²-5x²-x+1)÷(x²-bx+1)=ax+1,则a+b=?

Answer 1

(2x³-5x²-x+1)÷(x²-bx+1)=ax+1

2x³-5x²-x+1=(x²-bx+1)(ax+1)=ax^3+(1-ab)x^2+(a-b)x+1

a=2

1-ab=-5

a-b=-1

解得a=2,b=3

a+b=5

题目打错了吧,应该是2x³、