How do you determine if $4 t^{5} + 3 t^{2} + t$ $4t^5+3t^2+t$ is a polynomial and if so, is it a monomial, binomial, or trinomial?

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Answer 1 · 2018-07-24T19:27:48

It is a polynomial: it is a trinomial.

A polynomial is an expression that has one or more terms that contain different powers of the same variable(s).

Since there is one variable and different powers, we know it is a polynomial.

Also:
A monomial has 1 term.

A binomial has 2 terms.

A trinomial has 3 terms.

The expression has $3$ $3$ terms, so it is a trinomial.

Hope this helps!

How do you determine if 4t^5+3t^2+t4t5+3t2+t4t^5+3t^2+t is a polynomial and if so, is it a monomial, binomial, or trinomial?