Question

Which polynomial is prime?
O x²+x+1
O x²-x-2
O x²-12x + 11
Ox²+2x-8

Answer 1

The correct answer is x^2 + x + 1.

Explanation:

A prime polynomial is one that cannot be factored. To solve this problem, we can use the process of elimination by eliminating all answer choices that can be factored.

x^2 - x - 2 = (x - 2)*(x + 1)

x^2 - 12x + 11 = (x - 11)*(x - 1)

x^2 + 2x - 8 = (x + 4)*(x - 2)

Since we cannot factor x^2 + x + 1, and we can factor all of the other answer choices, we know that x^2 + x + 1 is the answer.

Hope this helps!