Question

homework assignment 5.2 power functions and polynomial functions due friday by 11:59pm points 10 submitting an external tool homework assignment 5.2 power functions and polynomial functions score: 0/10 answered: 0/10 question 1 find the degree of the term 6x²: find the degree of the term - 4: find the degree of the term - 3x⁴: find the degree of the term - 2x⁵: find the degree of the polynomial 6x² - 4 - 3x⁴ - 2x⁵: question help: video written example message instructor submit question

Explanation:

Step1: Recall degree - definition for single - variable term

The degree of a single - variable term $ax^n$ is the exponent $n$, where $a$ is a non - zero constant.

Step2: Find degree of $6x^2$

For the term $6x^2$, the exponent of $x$ is 2. So the degree is 2.

Step3: Recall degree of a constant

A non - zero constant term like $- 4$ can be written as $-4x^0$. So its degree is 0.

Step4: Find degree of $-3x^4$

For the term $-3x^4$, the exponent of $x$ is 4. So the degree is 4.

Step5: Find degree of $-2x^9$

For the term $-2x^9$, the exponent of $x$ is 9. So the degree is 9.

Step6: Find degree of polynomial

The degree of a polynomial is the highest degree of its terms. In the polynomial $6x^2-4 - 3x^4-2x^9$, the highest degree term is $-2x^9$ with degree 9.

Answer:

Degree of $6x^2$: 2
Degree of $-4$: 0
Degree of $-3x^4$: 4
Degree of $-2x^9$: 9
Degree of the polynomial $6x^2 - 4-3x^4 - 2x^9$: 9