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Finding Is x^2+y^2 Prime Polynomial

Created By : Rina Nayak

Reviewed By : Rina Nayak

Last Updated : Apr 18, 2023

Utilize our free Determining if Polynomial is Prime Calculator for Finding Is x^2+y^2 Prime Polynomial or not. Avail the detailed solution to determine whether x^2+y^2 is prime or not in the following sections.

Ex: x^5+x^5+1+x^5+x^3+x (or) x^5+3x^5+1+x^6+x^3+x (or) x^3+x^5+1+x^3+x^3+x

Determining if a Polynomial is Prime:

Finding Is <built-in function input> Prime Polynomial

Detailed Solution for Determining if Polynomial x^2+y^2 is Prime or Not

The given polynomial is x^2 + y^2

A prime polynomial is a polynomial which has 1 and itself as factors and doesn't have other factors.

By Factorization, x^2 + y^2 = (1)(x^2 + y^2)

So factors of x^2 + y^2 are 1 and x^2 + y^2

It is a prime polynomial because it has only two factors i.e 1 and x^2 + y^2

FAQs on Is x^2+y^2 Prime Polynomial

1. Is x^2+y^2 a Prime Polynomial?

It is a prime polynomial because it has only two factors i.e 1 and x^2 + y^2

2. How to find the x^2+y^2 Prime Polynomial?

You can factorize the given equation x^2+y^2, to get the solution whether x^2+y^2 is a prime polynomial.