Remainder Theorem

[randint]

The remainder theorem, known as P(x)/d(x), where P(x) is any polynomial, d(x) is a linear. When you use the the root of d(x) and "plug" it into P(x), you get the remainder of the function.

[Zren]

You might want to consider showing which coefficient your input is for.

Eg: 'Enter coefficient n (nx^3): '

~

Also, when a user's input is incorrect, you should not be continuing.

Java:

try         {             degree = Integer.parseInt (br.readLine()) + 1;         }         catch (NumberFormatException n)         {             System.out.println ("You have not entered a valid integer!");         }

You should either loop input until a valid input has been given, or you should be exiting your logic process when it happens.

code:

C:\Users\Admin\Desktop>java Remainder_Theorem Enter the highest degree term: 0 Enter coefficient: a You have not entered a valid number! Enter the slope: a You have not entered a valid number! 0.0x is a factor of this polynomial.

I'll also hint that since you're getting a double as input more than once, that you should consider writing a function to getInputDouble() that'll do the looping/error catching inside of that, and would return a valid number.

[randint]

Yes, this is correct, in the newer version, I will add System.exit (0); in the catch blocks.