Which of the polynomial expressions are prime? Select all that apply.Multiple select question.A)x2−x−2𝑥2-𝑥-2 B)x2+2x+1𝑥2+2𝑥+1 C)x2+x+1𝑥2+𝑥+1 D)x2+16𝑥2+16 E)x2−25𝑥2-25 F)x2+2x+3

A prime polynomial is a polynomial that cannot be factored into the product of other non-constant polynomials. Let's check each option:

A) x^2 - x - 2 This can be factored into (x-2)(x+1), so it is not prime.

B) x^2 + 2x + 1 This can be factored into (x+1)^2, so it is not prime.

C) x^2 + x + 1 This cannot be factored further, so it is prime.

D) x^2 + 16 This can be factored into (x-4i)(x+4i), so it is not prime.

E) x^2 - 25 This can be factored into (x-5)(x+5), so it is not prime.

F) x^2 + 2x + 3 This cannot be factored further, so it is prime.

So, the prime polynomial expressions are C) x^2 + x + 1 and F) x^2 + 2x + 3.