Which polynomial is prime? x2 + x + 1 x2 – x – 2 x2 – 12x + 11 x2 + 2x – 8

Step-by-step explanation:

By definition, a polynomial is prime when it can not be factored in lower degree.

You can factor the following polynomials given in the problem:

But the polynomial cannot be factor, because you can not find two integers numbers whose sum is 1 and whose product is 1, therefore, this is a prime polynomial.

Keeping the above on mind, the answer is the first option.