Question

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

Answer 1

Answer:

$(x-1)$ and $(x^2-x+2)$

Step-by-step explanation:

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

$f(x)=x^3-x^2-x^2+x+2x-2\\=x^2(x-1)-x(x-1)+2(x-1)\\=(x-1)(x^2-x+2)$