Question 1145341: Why is it impossible to have a linear trinomial with one variable?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! let the one variable be x.
the linear equation can have the highest degree of the variable equal to 1.
it can be at most a binomial, composed of the variable and a constant.
an example would be 5x + 3.
to make it a trinomial, you would have to add another term, but that can't be done because, when you combine like terms, you're back to two terms which is a binomial.
an example:
5x + 3 + 7x - 4
combine like terms and you get 12x - 1 which is a binomial.
no matter how many time you try to add or subtract like terms, the simplified version of the expression always collapses to two terms.
here's a similar answer from the web.
https://www.answers.com/Q/Why_is_it_impossible_to_have_a_linear_trinomial_with_one_variable
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