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23-04-2018
Mathematics

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Find the remaining factors for x^4+2x³-8x-16 divided by x+2

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choixongdong choixongdong

23-04-2018

x^4+2x³-8x-16
-------------------
x + 2

x^3(x+2) - 8(x+2)
= --------------------------
x + 2

(x+2) (x^3 - 8)
= -----------------------
x + 2

= x^3 - 8
= (x - 2)(x^2 + 2x + 4)

answer

(x - 2)(x^2 + 2x + 4)

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