Final answer:
Some of the polynomials mentioned are prime and some are not prime.
Step-by-step explanation:
Polynomials:
x2 + 4 - Not Prime
x2 - 5x + 2 - Prime
x2 + 10x - 24 - Not Prime
x2 - x + 27 - Prime
2x3 - 4x + 5x2 - 10 - Not Prime
A polynomial is considered to be prime if it cannot be factored into two polynomials with lower degree.
To determine if a polynomial is prime, we can check if it can be factored. If it cannot be factored, then it is prime. Otherwise, it is not prime.