1. The problem statement, all variables and given/known data For all all lines which meet the graph y = 2x^4+7x^3+3x-5 at four distinct points, what is the sum of the x-coordinates of the four points of intersection? 2. Relevant equations 3. The attempt at a solution So, you obviously set ax+b =2x^4+7x^3+3x-5, but how do you find the zero's of that?