Question

2.2x³ + x² - 3x - 3 ÷ (2x-1)​

Answer 1

$Given \: (2x^{3} + x^{2} - 3x - 3 ) \div (2x-1)$

2x-1|2x³+x²-3x-3|x²+x-1

***** 2x³-x²

_____________

******* 2x²-3x

******* 2x²-x

_____________

********* -2x-3

********* -2x+1

_____________

*************(-4)

Therefore.,

Dividend = 2x^{3} + x^{2} - 3x - 3 ,

Divisor = 2x - 1,

Quotient = x²+x-1,

Remainder = -4

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