Question

Which of the following sets contain all roots of the polynomial

Answer 1

All these given roots are contained in option C.

The given equation is :

`9x^(3)+9x^(2)-4x-4=0`

`9x^(2)(x+1)-4(x+1)=0`

`(9x^(2)-4)(x+1)=0`

`9x^(2)-4=0,x+1=0`

`x^(2)=(4)/(9),x=-1`

`x=(2)/(3),x=-1`

Roots =
`-1,(-2)/(3) ,(2)/(3)`

Hence these lie in between
`((-3)/(2) ,(3)/(2))`