martinezstefanie09 martinezstefanie09

29-12-2021
Mathematics

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Given that (x - 1) is a factor of f(x) = x3- 2x² + 3x - 2. Find all the zeros of f(x).

Respuesta :

29-12-2021

Answer:

[tex](x-1)[/tex] and [tex](x^2-x+2)[/tex]

Step-by-step explanation:

Given that [tex](x-1)[/tex] is a factor, we'll rewrite f(x) to match that pattern.

[tex]f(x)=x^3-x^2-x^2+x+2x-2\\=x^2(x-1)-x(x-1)+2(x-1)\\=(x-1)(x^2-x+2)[/tex]

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