Select all of the statements that are true about the following expression: -4x + 3x - 1 A The polynomial is a cubic trinomial. B The polynomial is not in standard form. C The degree of the polynomial is 3. D The leading coefficient is 4. E The polynomial has 3 terms. F The leading coefficient is -4.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Polynomial Characteristics Assessment**

**Question 2/15:**

**Prompt:**
Select all of the statements that are true about the following expression: \(-4x^3 + 3x^2 - 1\)

**Options:**
- **A**: The polynomial is a cubic trinomial.
- **B**: The polynomial is not in standard form.
- **C**: The degree of the polynomial is 3.
- **D**: The leading coefficient is 4.
- **E**: The polynomial has 3 terms.
- **F**: The leading coefficient is -4.

**Answer Options:**
- **NEXT:** Proceed to the next question.
- **BOOKMARK:** Bookmark this question for review later.

**Explanation for Context:**

The given polynomial expression is \(-4x^3 + 3x^2 - 1\). When analyzing a polynomial, it is important to consider the degree (the highest power of the variable), the leading coefficient (the coefficient of the term with the highest degree), whether it is in standard form (terms ordered from highest to lowest degree), and the number of terms present in the polynomial.
Transcribed Image Text:**Polynomial Characteristics Assessment** **Question 2/15:** **Prompt:** Select all of the statements that are true about the following expression: \(-4x^3 + 3x^2 - 1\) **Options:** - **A**: The polynomial is a cubic trinomial. - **B**: The polynomial is not in standard form. - **C**: The degree of the polynomial is 3. - **D**: The leading coefficient is 4. - **E**: The polynomial has 3 terms. - **F**: The leading coefficient is -4. **Answer Options:** - **NEXT:** Proceed to the next question. - **BOOKMARK:** Bookmark this question for review later. **Explanation for Context:** The given polynomial expression is \(-4x^3 + 3x^2 - 1\). When analyzing a polynomial, it is important to consider the degree (the highest power of the variable), the leading coefficient (the coefficient of the term with the highest degree), whether it is in standard form (terms ordered from highest to lowest degree), and the number of terms present in the polynomial.
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