3) \( 15-2 f^{3} \) The type of the given polynomial is: A Monomial B Binomial C Trinomial D Polynomial Its degree is: Enter your answer A) \( 2 g^{4}-11 g^{3}-3 g^{2}+15 \) The type of the given polynomial is: B Bonomial C Trinomial (?) D Polynomial (?) (ts degree is: Enter your answer

Let's analyze the given polynomials step by step. ### For the first polynomial: \( 15 - 2f^{3} \) 1. **Identify the type of polynomial:** - A **monomial** has one term. - A **binomial** has two terms. - A **trinomial** has three terms. - A **polynomial** is a general term for any expression with one or more terms. The expression \( 15 - 2f^{3} \) has two terms: \( 15 \) and \( -2f^{3} \). Therefore, it is a **binomial**. 2. **Determine the degree:** - The degree of a polynomial is the highest power of the variable in the expression. - In \( 15 - 2f^{3} \), the term with the highest power is \( -2f^{3} \), which has a degree of \( 3 \). ### For the second polynomial: \( 2g^{4} - 11g^{3} - 3g^{2} + 15 \) 1. **Identify the type of polynomial:** - The expression \( 2g^{4} - 11g^{3} - 3g^{2} + 15 \) has four terms: \( 2g^{4} \), \( -11g^{3} \), \( -3g^{2} \), and \( 15 \). Therefore, it is a **polynomial**. 2. **Determine the degree:** - The term with the highest power is \( 2g^{4} \), which has a degree of \( 4 \). ### Summary of Answers: 1. For \( 15 - 2f^{3} \): - Type: **B** (Binomial) - Degree: **3** 2. For \( 2g^{4} - 11g^{3} - 3g^{2} + 15 \): - Type: **D** (Polynomial) - Degree: **4**