∵x-y-2是x^2+axy+by^2-5x+y+6的一个因式 ∴商式是:x+(a+1)-3
(x-y-2)[x+(a+1)y-3]=x^2+(a+1)xy-3x-xy-(a+1)y^2+3y-2x-2(a+1)y+6
=x^2+axy-(a+1)y^2-5x+(1-2a)y+6
x^2+axy+by^2-5x+y+6-(x-y-2)[x+(a+1)y-3]=(a+b+1)y^2+2ay=0
∴ 2a=0 a+b+1=0 a=0 a+b=-1
∵x-y-2是x^2+axy+by^2-5x+y+6的一个因式 ∴商式是:x+(a+1)-3
(x-y-2)[x+(a+1)y-3]=x^2+(a+1)xy-3x-xy-(a+1)y^2+3y-2x-2(a+1)y+6
=x^2+axy-(a+1)y^2-5x+(1-2a)y+6
x^2+axy+by^2-5x+y+6-(x-y-2)[x+(a+1)y-3]=(a+b+1)y^2+2ay=0
∴ 2a=0 a+b+1=0 a=0 a+b=-1