Divide Using Synthetic Division (x3-4x2+4x-1)÷(x-1)

$(x \cdot 3 - 4 x \cdot 2 + 4 x - 1) \div (x - 1)$

Step 1

Place the numbers representing the divisor and the dividend into a division-like configuration.

$1$	$- 1$	$- 1$
	\xa0	\xa0

Step 2

The first number in the dividend $(- 1)$ is put into the first position of the result area (below the horizontal line).

Step 3

Multiply the newest entry in the result $(- 1)$ by the divisor $(1)$ and place the result of $(- 1)$ under the next term in the dividend $(- 1)$ .

Step 4

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

Step 5

All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.

$- 1 + \frac{- 2}{x - 1}$

Step 6

Simplify the quotient polynomial.

$- 1 - \frac{2}{x - 1}$

Divide Using Synthetic Division (x*3-4x*2+4x-1)÷(x-1)