Cubic Equation, 1
Working through the problem of solving the cubic, the question arises, suppose I remove the offset? That is, I have
which is the same same as
...shifted to the right or left by some unknown number of units.
Writing , the first root is 0, and the last two roots are given by the quadratic equation.
If we write g(x) = f(x-t), is it possible to solve for the mystery offset t and the new mystery coefficients?