After factorization of the polynomial function[tex]f(x) = x^3 -4x^2 + 4x - 16[/tex] the factors are [tex](x-4)(x^2+4)[/tex]
Step-by-step explanation:
We need to factorize the term: [tex]f(x) = x^3 -4x^2 + 4x - 16[/tex]
Solving:
We will be doing factor by grouping:
[tex]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)[/tex]
So, After factorization of the polynomial function[tex]f(x) = x^3 -4x^2 + 4x - 16[/tex] the factors are [tex](x-4)(x^2+4)[/tex]
Keywords: Factorization
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