Answer:
1) x=0,2
2) x=2,-1
3) x =-2,1
4)x= -1
Explanation:
Normal procedure for all polynomial :
- Differentiate Function given with respect to x.
- Equate with zero
- Find the roots and these are answers.
1)
![(df)/(dx)=-3x^(2) +6x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/amysizfxyo6ermeyq57hwz09hekdk6ls7j.png)
roots of this quadratic are =0 ,2
2)
![(df)/(dx)=3x^(2) +3x-6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/atgoayyt368gu5opgf5gotwsmpjx2qsnza.png)
roots of this quadratic =2, -1
3)
![(df)/(dx)=3x^(3)+3x^(2) -6x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a4vqq5t8pme453ejmconcz72yro77qojj7.png)
Roots of this cubic =-2,1