Question

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

Answer 1

2x^2-3x+6

=2x^2-4x+2+x+4

=2(x^2-2x+1)+x-1+5

=2(x-1)^2+(x-1)+5

所以a=2 b=1 c=5