Which of the following describes a trinomial?

Enhance your skills with the Saxon Math Course 3 Test. Utilize flashcards and multiple-choice questions, each with detailed explanations. Prepare thoroughly for your exam!

A trinomial is specifically defined as a polynomial consisting of three distinct terms. This means that in a trinomial, you will have terms combined by addition or subtraction that involve different degrees or constants, such as ( ax^2 + bx + c ), where ( a ), ( b ), and ( c ) are constants and ( x ) is the variable.

In contrast, the other options represent different types of polynomials: a polynomial with zero terms would be classified as the zero polynomial, a polynomial with one term is known as a monomial, and a polynomial with two terms is referred to as a binomial. Each of these categories has its own unique characteristics, but only the trinomial specifically takes the form of having exactly three terms. Thus, the correct description of a trinomial is indeed that it is a polynomial with three terms.

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