Respuesta :

x^3 +3x^2 +5x +3 / x+1 = x^2 +2x +3
x^3 +x^2
------------
 0   2x^2 +5x
      2x^2 +2x
   ----------------
        0      3x +3
                3x +3
               ---------
                0    0

so the 3rd choice is right sure 

The quotient of x³ + 3x² + 5x + 3 ÷ (x + 1) is x² + 2x + 3

How to find quotient of a fraction

x³ + 3x² + 5x + 3 ÷ (x + 1)

x²+2x + 3

_______________

(x + 1) | (x³ + 3x² + 5x + 3)

x³ + x²

_____________

2x² + 5x + 3

2x² + 2x

______________________

3x + 3

3x + 3

_________________________

- -

Therefore, the quotient of x³ + 3x² + 5x + 3 ÷ (x + 1) is x² + 2x + 3

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