Respuesta :
x² + 7 can not be factorized with rational numbers.
What is prime polynomial?
A prime polynomial defined as a polynomial has only two factors 1 and itself. It is a polynomial with integer coefficients that cannot be factored into polynomials of lower degrees.
x² + 7 can not be factorized with rational numbers.
Therefore, it is a prime polynomial.
x² - 25 can be factored into (x+5)(x-5).
Therefore, it is not a prime polynomial.
3x² – 27 can be factored into 3(x+3)(x-3).
Therefore, it is not a prime polynomial.
2x² – 8 can be factored into 2(x+2)(x-2).
Therefore, it is not a prime polynomial.
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