Question

Divide by long division method , 3x²+12x+1 by x-1​

Answer 1

$\underline {\pink{ Long \: division \: method : }}$

$Let \: p(x) = 3x^{2} +12x+1$

$and \: g(x) = x-1$

x-1 | 3x²+12x+1|3x+15

**** 3x²-3x

___________

********* 15x+1

********* 15x-15

______________

************(16)

Therefore.,

$Dividend = 3x^{2} +12x + 1$

$Divisor = x - 1$

$Quotient = 3x + 15$

$Remainder = 16$

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