Which polynomials are prime? Check all that apply.

A quadratic is prime if it cannot be factored into lower-degree polynomials with integer coefficients. For A, the discriminant is 7² − 4(2)(1) = 41, which is not a perfect square, so it does not factor. C and E also have no integer roots (their discriminants are negative), so they do not factor. B has a repeated factor, 5(x − 1)², and D is a difference of squares: (2x − 5)(2x + 5).

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