310 − 7 − 6
###
####310 − 7 − 6
###
1###310 − 7 − 6
3##
1###(^310) − 7 − 6
3##
13##
(^310) − 7 − 6
39#
13##
(^310) − 7 − 6
39#
132#
310 − 7 − 6
396
132#
310 − 7 − 6
396
1320
Mission accomplished! We have produced a remainder of 0. Now we know that 3 is a real root
of the cubic equation
x^3 − 7 x− 6 = 0
and also that (x− 3) is a factor of the polynomial.
Polynomial Equation of Third Degree 427