Finding Is 12x^4+42x^2+4x^2+14 Prime Polynomial
Utilize our free Determining if Polynomial is Prime Calculator for Finding Is 12x^4+42x^2+4x^2+14 Prime Polynomial or not. Avail the detailed solution to determine whether 12x^4+42x^2+4x^2+14 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
Detailed Solution for Determining if Polynomial 12x^4+42x^2+4x^2+14 is Prime or Not
The given polynomial is 12 x^4 + 4 x^2 + 42 x^2 + 14
A prime polynomial is a polynomial which has 1 and itself as factors and doesn't have other factors.
By Factorization, 12 x^4 + 4 x^2 + 42 x^2 + 14 = 2 (2 x^2 + 7) (3 x^2 + 1)
So factors of 12 x^4 + 4 x^2 + 42 x^2 + 14 are 2 (2 x^2 + 7) (3 x^2 + 1)
As per the prime polynomial definition, 12 x^4 + 4 x^2 + 42 x^2 + 14 is not a prime polynomial.
FAQs on Is 12x^4+42x^2+4x^2+14 Prime Polynomial
1. Is 12x^4+42x^2+4x^2+14 a Prime Polynomial?
As per the prime polynomial definition, 12 x^4 + 4 x^2 + 42 x^2 + 14 is not a prime polynomial.
2. How to find the 12x^4+42x^2+4x^2+14 Prime Polynomial?
You can factorize the given equation 12x^4+42x^2+4x^2+14, to get the solution whether 12x^4+42x^2+4x^2+14 is a prime polynomial.