Write a C program for root finding using Newton-Horner method. The algorithm that you should follow is below:

Algorithm Polyneu(a, n, ro,e, itmaz, root, b, ier) 1. Remark: a is a vector of coefficients, itmax the maximum number of iterates to be computed, b the vector of coefficients for the deflated polynomial, and ier an error indicator 2. itnum :=1 6. If c 0, ier := 2 and exit. 8. If Iri-Zol e, then ier := 0, root :-xi, and exit. 9 If itnum = itmax, then ier := 1 and exit. 10. Otherwise, itnum :itnum + 1, xo := xi, and go to Step 3