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Anyone know how to solve this?

Anyone know how to solve this?-example-1

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Answer:


-x^(4)+8x^(3)-17x^(2) +16\\\\=-x^(4)+4x^(3)+4x^(3)-16x^(2) -x^(2) +16\\\\=-x^(3)(x-4)+4x^(2)(x-4)-(x-4)(x+4)\\\\\\=(-x^(3)+4x^(2)-x-4)(x-4)\\\\ =>(-x^(4)+8x^(3)-17x^(2) +16)/(x-4)= (-x^(3)+4x^(2)-x-4)+(0)/(x-4)

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Anyone know how to solve this?-example-1
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