Question

Is 12n2+12n+1 prime over the set of polynomials with rational coefficients? Need help ASAP

Answer 1

No, the given polynomial is not prime.

Explanation:

Given: a polynomial
`12n^2+12n+1`

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
`12n^2+12n+1` cannot be factored further into polynomials of lower degree.

So, the given polynomial is not prime.