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Why is it impossible to have a linear trinomial?

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David Shabazi Profile
David Shabazi answered

Only a quadratic trinomial is possible.

"Linear" means that the highest power that the x variable can have in the equation is 1. And "trinomial" means there's three terms in it. So for example:

4x + 5x + 9

The highest power is 1, and there's three terms. It's a linear trinomial, right? Wrong. Because 4x and 5x simplify to 9x (which will give 9x + 9), which makes it a linear binomial.

So essentially, a linear trinomial is an unsimplified version of a linear binomial.

Anonymous Profile
Anonymous answered

Linear trinomials always work out to be expressed as a linear binomial, which is why you could say that they "technically don't exist". Actually the answer above explains the relationship between perceived linear trinomials and bionomials pretty well.

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