Synthetic Division
We are given the polynomial
[tex]x^3+7x^2+3x-11[/tex]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:
[tex]\frac{x^3+7x^2+3x-11}{x-1}=x^2+8x+11[/tex]
