Question

$divide 3 {x}^{2} + {x}^{2} + 2x + 5 \: by \: 1 + 2x + {x}^{2}$
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Answer 1

Correction - 3x³+x²+2x+5/x²+2x+1

x²+2x+1)3x³+x²+2x+5(3x-5

3x³+6x²+3x

- - -

________________________

-5x² - x + 5

-5x² - 10x - 5

+ + +

__________________________

9x + 10

Therefore,

Quotient = q = 3x - 5

Remainder = r = 9x + 10