Answer: x=-3 x=2 x=-0,5
Explanation:
2x³+3x²-11x-6=
2x³+(6x²-3x²)-11x-6=
(2x³+6x²)-3x²-11x-6=
2x²(x+3)-(3x²+11x+6)=
2x²(x+3)-(3x²+(9x+2x)+6)=
2x²(x+3)-((3x²+9x)+(2x+6))=
2x²(x+3)-(3x(x+3)+2(x+3))=
2x²(x+3)-(x+3)(3x+2)=
(x+3)(2x²-(3x+2))=
(x+3)(2x²-3x-2)=
(x+3)(2x²-4x+x-2)=
(x+3)(2x(x-2)+(x-2))=
(x+3)(x-2)(2x+1)
(x+3)(x-2)(2x+1)=0
x+3=0
x=-3
x-2=0
x=2
2x+1=0
2x=-1
Divide both parts of the equation by 2:
x=-0.5