Question

Which polynomial is prime? 7x2 – 35x + 2x – 10 9x3 + 11x2 + 3x – 33 10x3 – 15x2 + 8x – 12 12x4 + 42x2 + 4x2 + 14

Answer 1

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 .

Answer 2

9x^3 + 11x^2 + 3x - 33 is prime.
The others are not.