Which term best describes the polynomial $6+3x+4y$?

• A. Monomial
• B. Trinomial
• C. Binomial
• D. Quadrinomial

Answer: (B)

Verified step by step guidance

1. Identify the terms in the polynomial by looking at the parts separated by plus or minus signs. Here, the polynomial is \$6 + 3x + 4y\(, which has three terms: \)6\(, \)3x\(, and \)4y$.
2. Recall the definitions of polynomial terms based on the number of terms: a monomial has 1 term, a binomial has 2 terms, a trinomial has 3 terms, and a quadrinomial has 4 terms.
3. Count the number of terms in the polynomial. Since there are three terms, this matches the definition of a trinomial.
4. Therefore, the polynomial \$6 + 3x + 4y$ is best described as a trinomial because it contains exactly three terms.
5. Remember that the variables and coefficients do not affect the classification by number of terms; only the count of separate terms matters.