Consider the following two curves in the $\text{XY}$ plane:

$\\y=2x^3+3x^2+4\: \text{and} \\y=3x^2-2x+8$

Which of the following statements is true for $-3≤x≤2?$

- The two curves intersect thrice
- The two curves intersect twice
- The two curves intersect once
- The two curves do not intersect