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Long Division Method to Divide Two Polynomials

Calculate Rem...

Question

Calculate Remainder and Quotient of the following division:
$\frac{x^{3} + x + 1}{x^{2} - 1}$

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Solution

$\frac{x^{3} + x + 1}{x^{2} - 1}$
$∴$ Quotient = x
Remainder = 2x + 1

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Q. Find the quotient and remainder using synthetic division.

(x^{3} - x^{2} - 3 x + 5) \div (x - 1)

If dividend = $x^{4} + x^{3} - 2 x^{2} + x + 1$ , divisor = x - 1 and remainder = 2. Find the quotient q(x).

Use synthetic division method for performing the following division. Write the result in the form
Dividend = Divisor x Quotient + Remainder.

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

x^{4} + x^{3} - 2 x^{2} + x + 1

x - 1

, the remainder is

2

and the quotient is .

Use synthetic division method for performing the following division. Write the result in the form
Dividend = Divisor x Quotient + Remainder.

(x^{3} - 4 x^{2} - 2 x + 1) \div (x - 3)

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