How can I factorize this: "$X^3 + X^2 + X - 3$" I am going to elementary school & I am living in one of those deprived areas of Africa.
I can solve mathematical questions like this:
$$X^3 + X^2 + X +1 = X^2(X+1)+(X+1) = (X+1)(X^2+1)$$
Or even
\begin{align}X^2 − 2X + X^2 - X + 1 &= (X^2 - 2X + 1) + (X^2 - X) \\
&= (X - 1)^2 + X(X - 1) \\
&= (X-1)(X-1+X) \\
&= (X - 1)(2X - 1)
\end{align}
But for a few months I have not been able to find a teacher around here who can factorize this:
$$X^3 + X^2 + X - 3$$
Do we have to solve it in this way?
$$X^3 + X^2 + X - 3 = X^2(X + 1) + X - 3$$
Or something else?
I'd appreciate your help with this.

Hint:  $(x^3+x^2+x-3):(x-1)=x^2+2x+3$
