public static void NewtonRaphsonRootTest()
{
Console.WriteLine("########## PART 4 ############");
var coeffientsOne = new int[] { 1, 1, 0, 1 };
var polyOne = new Polynomial(coeffientsOne);
double rootOneGuess = -1;
var coeffientsTwo = new int[] { 2, -3, 1 };
var polyTwo = new Polynomial(coeffientsTwo);
double rootTwoGuess = 0;
double rootThreeGuess = 3;
var rootOne = polyOne.FindEstimateRoot(rootOneGuess);
Console.WriteLine(polyOne.ToString() + $", Initial root guess: {rootOneGuess}, Final root: " + (rootOne.Exists ? rootOne.Root.ToString() : "not found"));
var rootTwo = polyTwo.FindEstimateRoot(rootTwoGuess);
Console.WriteLine(polyTwo.ToString() + $", Initial root guess: {rootTwoGuess}, Final root: " + (rootTwo.Exists ? rootTwo.Root.ToString() : "not found"));
var rootThree = polyTwo.FindEstimateRoot(rootThreeGuess);
Console.WriteLine(polyTwo.ToString() + $", Initial root guess: {rootThreeGuess}, Final root: " + (rootThree.Exists ? rootThree.Root.ToString() : "not found"));
Console.WriteLine();
}