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

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UpStudy AI · Accepted 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**
- The first polynomial $$ 15 - 2f^{3} $$ is a **binomial** with a degree of **3**. - The second polynomial $$ 2g^{4} - 11g^{3} - 3g^{2} + 15 $$ is a **polynomial** with a degree of **4**.

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

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