what is the complete factorization of the polynomial below x^3+x^2+4x+4?
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Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
[tex]x^3+x^2+4x+4[/tex]
We need to given the complete factorization of the above expression.
So, First we factorise the above expression.
[tex]x^3+x^2+4x+4\\\\=x^2(x+1)+4(x+1)\\\\=(x+1)(x^2+4)[/tex]
Since factorization of [tex]x^2+4[/tex] would contain complex number.
so, it becomes,
[tex]x^2+4=(x+2i)(x-2i)[/tex]
So, the complete factorisation would be (x+2i)(x-2i)(x+1).
Hence, Option 'B' is correct.