已知多项式ax^2+2x+3可以分解为a(x-p)(x-3),则a= p=

2025-06-26 01:17:43
推荐回答(2个)
回答1:

a(x-p)(x-3)
=a(x²-3x-px+3p)
=a[x²-(3+p)x+3p]
=ax²-(3+p)ax+3pa
=ax^2+2x+3
所以:{-(3+p)a=2
3pa=3
解得:{a=-1
p=-1

回答2:

由题意得,(-3-p)a=2,3ap=3
得 a= -1,p= -1