You are to write a program that will find a root of a cubic polynomial. A cubic polynomial is of the form:

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<b and there is exactly one single root of the polynomial between a and b. You should report the value of the root, accurate to within 10^-6.

you should create a program that performs bisection to determine the root. More specifically, your program should do the following:

• Read in the coefficients of the polynomial from the user
• Read in the upper and lower bounds around a single root of the polynomial
• Determine the value of that root to within 10^-6
• Print the result of that root finding, as a single number
• Print out how many iterations it took to find that root.

Be sure to include comments in your code.

PYTHON

 

f(x)= Ax + Bx + Cx + D 3 2 f(x)= Ax + Bx + Cx + D 3 2