import java.io.File;
import java.io.FileNotFoundException;
import java.io.FileWriter;
import java.io.IOException;
import java.util.Scanner;

/**
*
* @author
*/
public class program6 {

public static void main(String[] args) throws FileNotFoundException, IOException {
   int capacity = 10;
   int size = 0;
   double[] list = new double[capacity];
   String menu = ""
            + "1. Add a value to the list\n"
            + "2. Remove a value from the list\n"
            + "3. Print the list\n"
            + "4. Exit\n"
            + "5. Insert"
            + "Enter option: ";
   int option = 0;
   double number;
   int position;

   Scanner scanner = new Scanner(System.in);

   // read file
   Scanner file = new Scanner(new File("data.txt"));
   while (file.hasNext()) {
         if (size >= capacity) {
            list = doubleCapacity(list, capacity, size);
            capacity *= 2;
         }
         list[size] = file.nextDouble();
         size++;
   }

   // show menu and process on the list
   while (option != 4) {
         System.out.print(menu);
         option = scanner.nextInt();
         switch (option) {
            case 1: {
               if (size >= capacity) {
                     System.out.println("Error");
               } else {
                     System.out.print("Enter a number: ");
                     number = scanner.nextDouble();
                     list[size] = number;
                     size++;
                     print(list, size);
               }
            }
            break;
            case 2:
               if (size == 0) {
                     System.out.println("Error!");
               } else {
                     size--;
                     print(list, size);
               }
               break;
            case 3:
               print(list, size);
               break;
            case 4:
               writeFile(list, size);
               break;
            case 5:
               if (size >= capacity) {
                     list = doubleCapacity(list, capacity, size);
                     capacity *= 2;
               }
               System.out.print("Enter a number: ");
               number = scanner.nextDouble();
               System.out.print("Enter position: ");
               position = scanner.nextInt();
               if (position < 0 || position > size) {
                     System.out.println("Error");
               } else {
                     for (int i = size; i > position; i--) {
                        list[i] = list[i - 1];
                     }

Consider a polynomial with integer coefficients and positive intege...