Algebra Know-It-ALL

−3/2 6138 3

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Subsequent steps proceed as follows:

−3/2 6138 3

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6###

−3/2 6138 3

− 9 ##

6###

−3/2 6138 3

− 9 ##

64##

−3/2 6138 3

− 9 − 6 #

64##

−3/2 6138 3

− 9 − 6 #

642#

−3/2 6138 3

− 9 − 6 − 3

642#

−3/2 6138 3

− 9 − 6 − 3

6420

We get a remainder of 0. This tells us that x=−3/2 is a real root of the original cubic equation. We can now
write it in binomial-trinomial form. The binomial factor is what we get when we subtract −3/2 from x.

Polynomial Equation of Third Degree 429