Question

Please look at the photo!Given a polynomial and one of it’s factors, find the remaining factors of the polynomial.

Answer 1

Given polynomial,

$x^3-3x+2$

One of its factors is (x+2).

Now, the polynomial is

$x^2-2x+1$

The factors of the above polynomial are

$\begin{gathered} x^2-2x+1 \\ x^2-x-x+1 \\ x(x-1)-1(x-1) \\ (x-1)(x-1) \end{gathered}$

The remaining factors of the polynomial are (x-1) (x-1).