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14-08-2018
Mathematics

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What is the complete factorization of the polynomial below? x3 - 4x2 + x - 4

Respuesta :

04-08-2020

Answer:

[tex]\huge\boxed{x^3-4x^2+x-4=(x-4)(x^2+1)}[/tex]

Step-by-step explanation:

[tex]x^3-4x^2+x-4\qquad\text{distributive}\\\\=x^2(x-4)+1(x-4)\\\\=(x-4)(x^2+1)\\\\/x^2+1-\text{is prime}/[/tex]

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