Question

Divide the polynomial 5x - 11 - 12x2^ + 2x^3 by the polynomial (x - 5).​

Answer 1

$Given\: polynomial \: 5x - 11-12x^{2}+2x^{3} \:is$

$divided \: by \: (x-5)$

x-5|2x³-12x²+5x-11|2x²-2x-5

****|2x³-10x²

______________

******-2x²+5x

***** -2x²+10x

______________

******* -5x-11

****** -5x +25

______________

*********(-36)

Dividend = 2x³-12x²+5x-11

Divisor = x-5,

Quotient = 2x²-2x-5,

Remainder = -36

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