Answer:
No, the given polynomial is not prime.
Step-by-step explanation:
Given: a polynomial [tex]12n^2+12n+1[/tex]
To check: whether the given polynomial is prime or not.
Solution:
A prime polynomial is a polynomial that cannot be factored into polynomials of lower degree and has integers as coefficients.
In the given polynomial, coefficients are integers.
Also, the polynomial [tex]12n^2+12n+1[/tex] cannot be factored further into polynomials of lower degree.
So, the given polynomial is not prime.
