[tex]\dfrac{4x^3+5x^2+3x}{x}=\dfrac{4x^3}{x}+\dfrac{5x^2}{x}+\dfrac{3x}{x}=4x^2+5x+3\\\\other\ method\\\\\dfrac{4x^3+5x^2+3x}{x}=\dfrac{x(4x^2+5x+3)}{x}=4x^2+5x+3[/tex]