Question

divide x³-3x²-9x-5 by x+1

Answer 1

SOLUTION

TO DETERMINE

To divide x³-3x²-9x-5 by x+1

EVALUATION

We have to divide x³-3x²-9x-5 by x+1

First we factorise x³-3x²-9x-5

$\sf{ {x}^{3} - 3 {x}^{2} - 9x - 5 }$

$\sf{ = {x}^{3} + {x}^{2} - 4 {x}^{2} - 4x - 5x - 5 }$

$\sf{ = {x}^{2} (x + 1) - 4x(x + 1) - 5(x + 1)}$

$\sf{ =(x + 1)( {x}^{2} - 4x - 5)}$

Hence the required result

$\displaystyle \sf{ = \frac{ {x}^{3} - 3 {x}^{2} - 9x - 5 }{(x + 1)} }$

$\displaystyle \sf{ = \frac{ (x + 1)( {x}^{2} - 4x - 5)}{(x + 1)} }$

$\displaystyle \sf{ = ( {x}^{2} - 4x - 5) }$

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Answer 2

Answer:

answer is -2

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