Answer:
Step-by-step explanation:
[tex]x^{2}[/tex] +4[tex]x[/tex] + 7
_____________
x-3 | [tex]x^{3} +x^{2} -5x+3\\[/tex]
| [tex]x^{3} - 3x^{2}[/tex]
| _____________
| 0 + 4[tex]x^{2}[/tex] -5[tex]x\\[/tex] (Subtracting above we get)
| + 4[tex]x^{2}[/tex] - 12x
| _____________
| 0 + 7x + 3
| 7x -21
| _______________
| +24 Remainder
so x-3 is not a factor