Write a program in java to determine the coefficients of binomials in the form o

Question

Write a program in java to determine the coefficients of binomials in the form of (A+B)n. Only use, if, for, do, and while in your program. Do not use Arrays or other advanced methods. Only use one main method. Do not use multiple methods. A sample session: Will calculate the coefficients for the expansion of (A+B) to the power of n. What are the coefficients of A and B? 2-1 What is the value of n? 5 The coefficients are: 32 -80 80 -40 10-1 Continue? Y What are the coefficients of A and B? 1 1 What is the value of n? 2 The coefficients are: 12 1 Continue? N Goodbye!

Explanation / Answer

SolutionDemo1.java

import java.util.Scanner;//Scanner class for keyboard inputting

public class SolutionDemo1 {
// Main Method
public static void main(String[] args) {
Scanner input = new Scanner(System.in);

int a, b, n;
String ch;

System.out.println(" Will calculate the coefficients for the expansion of (A+B) to the power of n.");
System.out.println("");

// Read a, b, n values from the user
// Loop till user wants to quit
do {
System.out.println("What are the coefficients of A and B? ");
a = input.nextInt();
b = input.nextInt();

System.out.println(" What is the value of n? ");
n = input.nextInt();

// Call this function to determines coefficients of binomials
  

input.nextLine();

int coefficient = 0;

System.out.print(" The Coefficients are: ");

// Calculating binomial coefficients by applying Binomial Theorem
for (int i = 0; i <= n; i++) {
int prod = 0;

// First calculate coefficient
// System.out.println("facti" + fact(i));
// System.out.println("factn-i" + fact(n - i));
coefficient = fact(n) / (fact(i) * fact(n - i));

// Second calculate product
prod = (int) (coefficient * Math.pow(a, n - i) * Math.pow(b, i));

// Print product
System.out.print(prod + " ");

  
}

System.out.println(" Continue? ");
ch = input.nextLine();
} while (ch.equals("Y"));//util ch equals to Y the loop continues

System.out.println(" Good Bye! ");

// this determines coefficients of binomials

}
// calculates the factorial of a number
public static int fact(int num) {
int fact = 1;

if (num > 0) {
for (int i = 1; i <= num; i++) {
fact = fact * i;
}
} else {
return 1;
}
return fact;
}
}

output

run:

Will calculate the coefficients for the expansion of (A+B) to the power of n.

What are the coefficients of A and B?
2 1

What is the value of n?
5

The Coefficients are: 32 80 80 40 10 1

Continue?
Y
What are the coefficients of A and B?
1 1

What is the value of n?
2

The Coefficients are: 1 2 1

Continue?
N

Good Bye!

BUILD SUCCESSFUL (total time: 26 seconds)

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.