Resposta :
x³ - 6x² + 3x + 10 | x + 1
--------------------------| x² - 7x + 10
+ x³ - 6x² + 3x + 10
- x³ - x²
--------------------------|
- 7x² + 3x + 10
+ 7x² + 7x
--------------------------|
+ 10x + 10
- 10x - 10
--------------------------|
0
Por fim,
[tex]x^2-7x+10=0\\\\x^2-2x-5x+10=0\\\\x(x-2)-5(x-2)=0\\\\(x-2)\left[x-5\right]=0\\\\(x-2)(x-5)=0\\\\\boxed{\boxed{S=\left\{ 2,5\right\}}}[/tex]
--------------------------| x² - 7x + 10
+ x³ - 6x² + 3x + 10
- x³ - x²
--------------------------|
- 7x² + 3x + 10
+ 7x² + 7x
--------------------------|
+ 10x + 10
- 10x - 10
--------------------------|
0
Por fim,
[tex]x^2-7x+10=0\\\\x^2-2x-5x+10=0\\\\x(x-2)-5(x-2)=0\\\\(x-2)\left[x-5\right]=0\\\\(x-2)(x-5)=0\\\\\boxed{\boxed{S=\left\{ 2,5\right\}}}[/tex]