Question

question 10 of 10
which of the following is a trinomial with a constant term?

a. $x^3$

b. $y^5 + 13x + 12$

c. $x^4 + 3y^2 + 2y$

d. $x + 4y$

Explanation:

1. Recall the definitions: A trinomial is a polynomial with three terms. A constant term is a term without a variable (a number).
2. Analyze Option A: \(x^{3}\) has only one term, so it's a monomial, not a trinomial. Eliminate A.
3. Analyze Option B: \(y^{5}+13x + 12\) has three terms (\(y^{5}\), \(13x\), and \(12\)). The term \(12\) is a constant term. So this is a trinomial with a constant term.
4. Analyze Option C: \(x^{4}+3y^{2}+2y\) has three terms, but all terms have variables (no constant term). Eliminate C.
5. Analyze Option D: \(x + 4y\) has two terms, so it's a binomial, not a trinomial. Eliminate D.

Answer:

B. \(y^{5}+13x + 12\)