Final answer:
A monomial has only one term, a binomial has two terms, a trinomial has three terms, and a quadrinomial has four terms.
Step-by-step explanation:
A monomial is a polynomial with only one term. A binomial has two terms, a trinomial has three terms, and a quadrinomial has four terms. Let's go through each polynomial one by one:
a) 7x^3: This is a monomial because it has only one term.
b) 7x-3x^3+1: This is a trinomial because it has three terms.
c) r^3-2r^2: This is a binomial because it has two terms.
d) 12x^2-5x+1: This is a trinomial because it has three terms.
e) t^5-8t: This is a binomial because it has two terms.
f) 5a^2+7: This is a binomial because it has two terms.
g) 5-t^3-7t: This is a trinomial because it has three terms.
h) 7x: This is a monomial because it has only one term.
i) 18: This is a monomial because it has only one term.
j) y^8+8: This is a binomial because it has two terms.