Question

3) Find the quotient and remainder using long division method when a) 3x⁴-4x³-3x-1 is divided by x+1 b) x⁴+x³-2x²+x+1 is divided by x-1

Answer 1

Answer:

Step-by-step explanation:

Let p(x) = 3x⁴-4x³-3x-1 and g(x) = x-1,

x-1) 3x⁴-4x³+0-3x-1(3x³-x²-x-4

**** 3x⁴ -3x³

___________________

********* -x³ + 0 -3x

********* -x³ + x²

___________________

************** -x² - 3x - 1

************** -x² + x

___________________

****************** - 4x - 1

****************** -4x + 4

____________________

***** Remainder (-5)

Dividend = 3x⁴-4x³-3x-1,

Divisor = x-1,

Quotient = 3x³-x²-x-4,

Remainder = -5

Therefore,

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Step-by-step explanation:

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