The given expression
3m+9 is not prime polynomial.
[tex]x+9^{2}[/tex] is prime polynomial.
[tex]x^{9} -y^{6}[/tex] is prime polynomial.
[tex]8x^{7} - 9x + 12x^{2}[/tex] is not prime polynomial.
What is prime polynomial?
A polynomial wit integer coefficients that cannot be factored into polynomials of lower degree, also with integer coefficients is called irreducible or prime polynomial.
According to the given question, we have to find the expression which is prime polynomial.
A. 3m + 9 = 3(m + 3) is not a prime polynomial because it can be factored.
B. [tex]x +9y^{2}[/tex], is a prime polynomial because it cannot be factored.
C. [tex]x^{9} -y^{6}[/tex], is a prime polynomial because it cannot be factored.
D. [tex]8x^{7}-9x + 12x^{2} = x(8x^{6} -9 +12x)[/tex], it is not prime polynomial because it can be factored.
Learn more about the prime polynomial here:
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