------- PYTHON PROGRAM -------

As a team, you are to write a program that will find a root of a cubic polynomial. A cubic polynomial is of the form: f(x)- Ax3 + Bx2 + Cx D A root of the polynomial is a value, x, such that f(x)-0. For a generic cubic polynomial, there will be one local maximum, and one local minimum, and the curve will go off to negative infinity in one direction, and positive infinity in another. Here are three examples: f(x) " .r The polynomial has some number of real roots: the points at which the curve crosses the x-axis. A cubic curve will have either 3 roots (as above at left), 1 root (above, middle), or in rare cases 2 roots (as above at right). Note that roots are typically single roots, and for single roots, the curve is negative on one side of the root, positive on the other (a double root results in a tangent to the curve, like that above and right) You should write a program that takes in the coefficients of the polynomial: A, B, C, and D, along with a bound on one single root: a,b. The user should be expected to input a and b such that a