Question

Divide the polynomial 3x⁴-4x³-3x-1 by x-1 and find quotient

Answer 1

quotient is 3x^3-x^2-x-4

Answer 2

$Let \: p(x) = 3x^{4} - 4x^{3} - 3x - 1 \: and \\g(x) = x-1$

x-1) 3x⁴-4x³+0-3x-1(3x³-x²-x-4

***** 3x⁴-3x³

______________

****** -x³ + 0

****** -x³ + x²

______________

******** -x² - 3x

******** -x² + x

______________

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

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

_______________

*Remainder (-5)

_______________

Dividend = 3x⁴-4x³-3x-1

Divisor = x - 1

Quotient = 3x³-x²-x-4

Remainder = -5

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