Respuesta :

Step-by-step explanation:

[tex]in \: our \: case \: we \: find \: \: that \: {x}^{3} + {5x}^{2} - x - 9 \: divided \: by \: x + 2 \: is \: {x}^{2} + 3x - 7 \: with \: reminder \: 5[/tex]

SO:

[tex] {x}^{3} + {5x }^{2} - x - 9 = (x + 2)( {x}^{2} + 3x - 7) + 5[/tex]

OR

[tex] \frac{ {x}^{3} {5x } ^{2} - x - 9 {} }{x + 2} = {x}^{2} + 3x - 7 + \frac{5}{x + 2} [/tex]

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Answer:

Step-by-step explanation:

-2| 1    5    -1    -9

        -2   -6    14  

     1    3    .-7    5

x^2 + 3x - 7 +5/(x+2)

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