Respuesta :

Answer:

9x³ + 11x² + 3x – 33 is a prime polynomial .

Step-by-step explanation:

Definition of prime polynomial

Polynomial consist of  integer coefficients that cannot be factored into polynomials of lower degree is called prime polynomial . (It is also called irreducible polynomial.)

Thus

9x³ + 11x² + 3x – 33 is the polynomial with the integer coefficients that cannot be factored into polynomials of lower degree .

Therefore 9x³ + 11x² + 3x – 33 is a prime polynomial .

The prime polynomial is 9x³ + 11x² + 3x – 33

Prime Polynomial

Prime polynomial are also called irreducible polynomial . This are polynomial with integer coefficients that cannot be factored into polynomials of lower degree.

A prime polynomial have only one prime factor

Generally, they are irreducible over integers . Therefore, the prime polynomial among the options is as follows;

  • 9x³ + 11x² + 3x – 33

proof

9x³ + 11x² + 3x – 33

x²(9x + 11)+3(x - 11)

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