I need help with these sort of questions where you have given a set of points and you must determine the equation, linear ones are easy but ones that are quadratic or cubic. So could go about and tell me how to determine equations of polynomials. Heres the set of points i am given. x.....y -3....-110 -2....-21 -1.....4 0.....7 1.....6 2....-5 3....-56 The dots separate the columns because they are supposed to be in a table of values. So can anyone help me determine an equation for this. I know i have to find the differences in the y-column, so the fourth difference of the y-column are constant at -24, but what do i do now. I know the equation is in the form y=ax^4 + bx^3 + cx^2 + dx + e, but what do i do with the 24 and how do i solve the rest.