Write a program to find all real roots

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Reference no: EM13192837

Roots of Polynomial

Write a program to find all real roots of a given polynomial f. Starting with 0.0, use step size of 0.25 to find a and b such that sign(f(a)) <> sign(f(b)). Run the false position method for 3 iterations, then change to the Newton's method, using the middle point of a and b as the starting point, until |f(Xn)| |Xn - Xn-1|/|Xn-1|

Divide out Xn, using the synthetic division, and repeat the process until the degree of polynomial is reduced to 2. Use the quadratic equation to find the last two roots.

Print out all roots and number of iterations in Newton's method.

input file name: Root.dat
input file format:

LINE 1: N 1 intger, the degree of polynomial

LINE 2: An An-1 An-2 ........A1 A0n+1 floats separated by one space, coefficients of polynomial

Output: (to terminal)

all real roots in scientific notation.

number of iterations in Newton's method.

Reference no: EM13192837

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