In the following exercises, determine if each of the...

In the following exercises, determine if each of the following polynomials is a monomial, binomial, trinomial, or other polynomial.
a) $11 y^{2}$
(b) -73
(c) $6 x^{2}-3 x y+4 x-2 y+y^{2}$
(d) $4 y+17$
(e) $5 c^{3}+11 c^{2}-c-8$

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Key Concepts

Polynomial

A polynomial is an algebraic expression made up of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. It represents a fundamental concept in algebra and is used for various applications including equation solving and function analysis.

Monomial

A monomial is a specific type of polynomial that contains only one term. This single term can be a constant, a variable, or the product of a constant and one or more variables raised to nonnegative integer powers. It is the simplest form of a polynomial.

Binomial

A binomial is a polynomial that consists of exactly two distinct terms separated by a plus or minus sign. It is significant in algebra for its role in factorization and in the application of the binomial theorem.

Trinomial

A trinomial is a polynomial with exactly three distinct terms. Trinomials commonly arise in quadratic expressions and many algebraic factorization problems, making them an essential element in algebra studies.

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