Question 75332
No!
You can readily see this by multiplying your two factors.  This would result in {{{x^3+4x^2+3x}}} and this is not what you started with, is it?
Factor:
{{{x^2+3x+x+3}}} First, you ought to simplify this by combining like-terms.
{{{x^2+4x+3}}} Now try factoring.
{{{(x+1)(x+3) = x^2+3x+x+3}}} = {{{x^2+4x+3}}}