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Finding Is 6x^3+14x^2-12x-28 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 6x^3+14x^2-12x-28 Prime Polynomial or not. Avail the detailed solution to determine whether 6x^3+14x^2-12x-28 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 6x^3+14x^2-12x-28 is Prime or Not

The given polynomial is 6 x^3 + 14 x^2 + (-12) x - 28

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

By Factorization, 6 x^3 + 14 x^2 + (-12) x - 28 = 2 (3 x + 7) (x^2 - 2)

So factors of 6 x^3 + 14 x^2 + (-12) x - 28 are 2 (3 x + 7) (x^2 - 2)

As per the prime polynomial definition, 6 x^3 + 14 x^2 + (-12) x - 28 is not a prime polynomial.

FAQs on Is 6x^3+14x^2-12x-28 Prime Polynomial

1. Is 6x^3+14x^2-12x-28 a Prime Polynomial?

As per the prime polynomial definition, 6 x^3 + 14 x^2 + (-12) x - 28 is not a prime polynomial.

2. How to find the 6x^3+14x^2-12x-28 Prime Polynomial?

You can factorize the given equation 6x^3+14x^2-12x-28, to get the solution whether 6x^3+14x^2-12x-28 is a prime polynomial.