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

Mathematics

1 answer:

romanna [79]4 years ago

6 0

Answer:

$\huge\boxed{x^3-4x^2+x-4=(x-4)(x^2+1)}$

Step-by-step explanation:

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

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Step-by-step explanation: