# How do you use synthetic division to divide #x^3- 6x^2+ 11x - 6 # by #x-1#?

##### 2 Answers

Synthetic division is generally used, in finding zeroes (or roots) of polynomials.

#### Explanation:

Well since the polynomial

Thus the quotient of division with

See the explanation section.

#### Explanation:

Divide

First, you let the coefficients of each degree to be used in the division (

Then, dividing by

First, bring the first

Then add

Multiply

Now

The bottom row ignoring the last number gives us the coefficients of the quotient.

The last number on the bottom row is the remainder (and it is also

So the division gives us:

You can check the answer by multiplyng:

(I've used Synthetic Division Formatting by Truong-Son R.)