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

Question

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

in progress 0
Eva 1 month 2021-10-16T21:48:14+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-16T21:49:53+00:00

    Answer:

    No, the given polynomial is not prime.

    Step-by-step 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.

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )