`-x^4 + 4x^3 - 7x^2 + 12x +18`
`=-x^2(x^2 -4x + 4) - 3(x^2 -4x + 4) + 30`
`= -(x-2)^2.(x^2+3) + 30`
vì `(x-2)^2.(x^2+3)>= 0 ∀ x => -(x-2)^2(x^2+3)<= 0 ∀ x => -(x-2)^2(x^2+3) + 30 <=30`
dấu `=` khi
1,`x-2=0 => x=2`
2,(x^2 + 3 = 0 => x^2 = -3 (vl)`
vậy `Max = 30 khi x = 2`