The real number k for which the equation, $2x^3+3x+ k = 0$ has two distinct real roots in $[0, 1]$

Question

$\begin{array}{1 1} \text{(1) lies between 1 and 2} \\ \text{(2) lies between 2 and 3} \\ \text{(3) lies between −1 and 0} \\ \text{(4) does not exist } \end {array}$