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
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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