50 points- help ASAP, please.

1. Is a^2 - 39 prime...
a. Over the set of polynomials with rational coefficients?
b. over the set of polynomials with real coefficients?
c. Explain your answers to Parts a and b

2. The Discriminant Theorem Factoring Quadratics applies to quadratics with ___ coeffecients.

1) a) yes

b) no

c) a² - 39

(a)² - (sqrt(39))²

(a - sqrt(39))(a + sqrt(39))

This quadratic can be split into real factors, but not rational

sqrt(39) is a real number, but not rational

2) Real

For the discriminant: B² - 4AC

A,B and C are real

lockers 1, 4, 9, 16, 25, 40, and 49 are open

i ran through it by the other answer is wrong