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14-10-2018
Mathematics

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Factor f(x) = x^5 - 8x^4 + 16x^3

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altavistard altavistard

14-10-2018

Answer:

x^3(x-4)^2

Step-by-step explanation:

x^3 is common to all three terms of f(x). Therefore,

f(x) = x^5 - 8x^4 + 16x^3 = x^3 (x^2 - 8 x + 16).

This last result can be factored further: x^3(x-4)^2

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