Question

What is the comlete factorization of the polynomial function over the set of complex numbers?

Answer 1

After factorization of the polynomial function$f(x) = x^3 -4x^2 + 4x - 16$ the factors are $(x-4)(x^2+4)$

Step-by-step explanation:

We need to factorize the term: $f(x) = x^3 -4x^2 + 4x - 16$

Solving:

We will be doing factor by grouping:

$x^3 -4x^2 + 4x - 16\\(x^3-4x^2)+(4x-16)\\Taking\,\,common\,\,terms:\\x^2(x-4)+4(x-4)\\(x-4)(x^2+4)$

So, After factorization of the polynomial function$f(x) = x^3 -4x^2 + 4x - 16$ the factors are $(x-4)(x^2+4)$

Keywords: Factorization

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