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

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 .

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x