Answer:
[tex]x^{2} +2x+3[/tex]
Step-by-step explanation:
Wehn you are faced with the next division you have to factorize the polynomial function:
[tex]\frac{x^{3}+3x^{2}+5x+3}{x+1}[/tex]
Now you have to separate it in two factors, one of them being (x+1) so you can after eliminate it:
[tex]\frac{(x+1)(x^{2}+2x+3)}{x+1}[/tex]
And now you just eliminate the same binomials from both sides of the division and you´d end up with the next division:
[tex]\frac{x^{2}+2x+3}{1}[/tex]
And the answer to the division is:
[tex]x^{2} +2x+3[/tex]
