Determine which functions have two real number zeros by calculating the discriminant, b2 – 4ac. Check all that apply.

A quadratic has two real zeros when its discriminant b² − 4ac is positive. For A, C, D, and F, the discriminants are 6² − 4(1)(8) = 4, (−12)² − 4(1)(32) = 16, 4² − 4(1)(−1) = 20, and (−2)² − 4(1)(−15) = 64, respectively. Each is positive, so these functions have two real zeros. The discriminants for B and E are negative (−16 and −55), so those functions do not have two real zeros.

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