Which term, when added to the given polynomial, will change the end behavior of the graph? y = 14x8 – 6x5 – 2x4 – 10

The original polynomial has degree 8 with a positive leading coefficient, so its graph rises on both ends. Adding −6x⁹ makes the highest-degree term −6x⁹, which has odd degree and a negative coefficient, so the graph’s end behavior changes. The correct choice is “−6x⁹.”

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