Question

The quadratic equation ${3ax}^2+2bx+c=0$ has at least one root between 0 and 1 if

• A. a + b + c = 1
• B. a + b + c = 0
• C. 3a + 2ab + c = 0
• D. 6a + 2b = 0

Answer 1

The correct option is B

a + b + c = 0

Let $f\left(x\right)={ax}^2+{bx}^2+cx=0$

f(0) = 0 = f(1) ⇒ a + b + c = 0