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xeze [42]
3 years ago
9

Dividing polynomials

Mathematics
1 answer:
Goryan [66]3 years ago
8 0

z^4-3z^3+2z^2-4z+4=\\\\z^4-z^3-2z^3+2z^2-4z+4=\\\\z^3(z-1)-2z^2(z-1)-4(z-1)=\\\\(z^3-2z^2-4)(z-1)

So

(z^4-3z^3+2z^2-4z+4)(z-1)^{-1}=z^3-2z^2-4

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