Response:
Monomial
Trinomial
Monomial
Trinomial
Binomial
Explanation in detail:
A monomial consists of one distinct term
A binomial consists of two distinct terms
A trinomial consists of three distinct terms
In the first example, the -x^2 and +x^2 cancel each other, and since 2x and 4x are similar terms, combining gives you 6x, which is a monomial.
In the second example, after adding +3 and -2, you get three distinct terms that can't be combined, thus it's a trinomial
In the third example, all variables cancel out, resulting in just one term, 3, making it a monomial
In the fourth one, after combining like terms, you end up with:
x^3 + 3x^2 + 7x
This makes it a trinomial
In the last example, the 6x and -6x cancel, leaving two terms, qualifying it as a binomial.