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Finding Is 10x^3-15x^2+8x-12 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 10x^3-15x^2+8x-12 Prime Polynomial or not. Avail the detailed solution to determine whether 10x^3-15x^2+8x-12 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 10x^3-15x^2+8x-12 is Prime or Not

The given polynomial is 10 x^3 - 15 x^2 + 8 x - 12

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

By Factorization, 10 x^3 - 15 x^2 + 8 x - 12 = (2 x - 3) (5 x^2 + 4)

So factors of 10 x^3 - 15 x^2 + 8 x - 12 are (2 x - 3) (5 x^2 + 4)

As per the prime polynomial definition, 10 x^3 - 15 x^2 + 8 x - 12 is not a prime polynomial.

FAQs on Is 10x^3-15x^2+8x-12 Prime Polynomial

1. Is 10x^3-15x^2+8x-12 a Prime Polynomial?

As per the prime polynomial definition, 10 x^3 - 15 x^2 + 8 x - 12 is not a prime polynomial.

2. How to find the 10x^3-15x^2+8x-12 Prime Polynomial?

You can factorize the given equation 10x^3-15x^2+8x-12, to get the solution whether 10x^3-15x^2+8x-12 is a prime polynomial.