Which polynomials are prime? Check all that apply. x2 + 4x2 – 5x + 2x2 + 10x – 24 x2 – x + 27 2x3 – 4x + 5x2 – 10

A polynomial is prime here if it cannot be factored into lower-degree polynomials with integer coefficients. For A, x² + 4 has no integer roots; for B, x² − 5x + 2 has discriminant 25 − 8 = 17, which is not a perfect square, so neither quadratic factors over the integers. For D, the discriminant is (−1)² − 4(1)(27) = −107, so it also does not factor over the integers. Choice C factors as (x + 12)(x − 2), and choice E factors as (2x + 5)(x² − 2), so those are not prime.

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