Question

(X^3+5x^2-x-9)\(x+2)
I need the work shown please

Answer 1

Explanation:

-2| 1 5 -1 -9

-2 -6 14

1 3 .-7 5

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

Answer 2

Explanation:

`in \: our \: case \: we \: find \: \: that \: {x}^(3) + {5x}^(2) - x - 9 \: divided \: by \: x + 2 \: is \: {x}^(2) + 3x - 7 \: with \: reminder \: 5`

SO:

`{x}^(3) + {5x }^(2) - x - 9 = (x + 2)( {x}^(2) + 3x - 7) + 5`

OR

`\frac{ {x}^(3) {5x } ^(2) - x - 9 {} }{x + 2} = {x}^(2) + 3x - 7 + (5)/(x + 2)`

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