Question

Divide using synthetic division. Write the answer as a polynomial x^3+7x^2+3x-11=0; (x-1)

Answer 1

Synthetic Division

We are given the polynomial

`x^3+7x^2+3x-11`

It's required to divide it by x-1 using synthetic division. It's also known as the Ruffini method.

To apply the synthetic division, we only take the coefficients of the polynomial: 1, 7, 3, -11

And fill up a row with them. To divide it by x-1, we use the value x=1 and start the procedure as follows:

Since the last result is 0, the division is exact, and the quotient is:

`(x^3+7x^2+3x-11)/(x-1)=x^2+8x+11`