Question 1183633
<br>
No; they do not intersect in three points....<br>
{{{2x^3=(2-x)(5x+6)}}}
{{{2x^3+5x^2-4x-12=0}}}<br>
The rational roots theorem and synthetic division then show<br>
{{{2x^3+5x^2-4x-12=(2x-3)(x+2)^2}}}<br>
The graphs intersect at TWO points, with x coordinates -2 and 3/2.<br>