Play With Roots Of Equation

Calculus Level 3

If $a+b+c=0$ , then which of the following must be true regarding the quadratic equation $3ax^2 +2bx+c=0$ ?

It has one root in

(2,3)

and other in

(-2,-1)

It has at least one root in the interval

(0,1)

It has imaginary roots Can't be determined None of the above