Question

X^3−x^2−2x=0 Help me factory this problem

Answer 1

Factored form: x(x-2)(x+1)=0

Solutions: x=0, x=2, x=-1

Explanation:

`x^(3) -x^(2) -2x=0\\`

`x(x^(2) -x-2)=0\\\left \{ {{x=0} \atop {x^(2)-x-2 =0}} \right. \\\left \{ {{x=0} \atop (x-2)(x+1)=0}} \right. \\x=0,x=2,x=-1`

Answer 2

Answer: x=0 x=2 x=-1

Explanation:

`x^3-x^2-2x=0\\\\x(x^2-x-2)=0\\\\x(x^2-2x+x-2)=0\\\\x((x-2)+(x-2))=0\\\\x(x-2)(x+1)=0\\\\x=0\\\\x-2=0\\\\x-2+2=0+2\\\\x=2\\\\x+1=0\\\\x+1-1=0-1\\\\x=-1`