Question

若代数式2x^-3x+6可化为a(x-1)^+b（x-1）+c的形式,求abc的值

Answer 1

2x^-3x+6可化为a(x-1)^+b（x-1）+c

a(x-1)^+b（x-1）+c

=ax^2-2ax+a+bx-b+c

=ax^2-(2a-b)x+(a-b+c)

a=2

2a-b=4-b=3,b=1

a-b+c=2-1+c=1+c=6,c=5