Which equation is true for x = –6 and x = 2?

An equation true for both x = −6 and x = 2 must have both values as roots. The polynomial with those roots is (x + 6)(x − 2) = x² + 4x − 12. Multiplying by 2 gives 2x² + 8x − 24 = 0, which is choice B.

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