Answer
$x^{3}-x^{2}+x+3$
Work Step by Step
Write out equation
$(x+1)(x^{2}-2x+3)$
Next you must expand the polynomial. To do this first multiply $x$ of the $(x+1)$ by $(x^{2}-2x+3)$
This gives you $(x^{3}-2x^{2}+3x)$
Second multiply the $+1$ of the $(x+1)$ by $(x^{2}-2x+3)$
This gives you $(x^{2}-2x+3)$
Now add the like terms of $(x^{3}-2x^{2}+3x)$ to $(x^{2}-2x+3)$
and you get your answer $x^{3}-x^{2}+x+3$