Question: please solve it without function In this problem, you will use Bisection method to find a root of a polynomial. Write a C program to

 please solve it without function In this problem, you will use

please solve it without function

In this problem, you will use Bisection method to find a root of a polynomial. Write a C program to find a root of a cubic polynomial p(x)-a x^3 + b x^2 +cx +d-0 in the interval [-50,50] if it exists. You program will first prompt for and read the coefficients a, b, c, and d of the polynomial Step#1: Locate the interval [x0,x1] containing the root as follows fix x0 to -50. Also initialize x1 to -50 for each value of x starting from -50 to 50 with increment of 1 If I p(x) I display the value of x as the root and stop If p(x)*p(x0)k0 -> assign x to x1 and get outside the loop (using break statement) Step#2 : Finding the root - After the loop, if x1 is still -50-> display "No root found inside [-50,50] and terminate - If not -> The root is in the latest interval [x0,x1] Then apply the following bisection procedure method o Compute xm (x1+x0)/2 which represents the middle of the interval [x0,x1] o While Ip(xm)| >- epsilon If p(x0)*p(xm) root between XO and x1, so x1 = xm if p(xm)*p(x1) root between xm and x1, so x0 = xm update xm-(x0+x1)/2 - Display the value of the root found and the number of iterations (repetitions) to obtain the root. Note: Define epsilon as a constant with a value = 1E-6

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!