Question

homework assignment 5.2 power functions and polynomial functions
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homework assignment 5.2 power functions and polynomial functions
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find the degree of the term 6x²: 2
find the degree of the term - 4: 0
find the degree of the term - 3x⁴: 4
find the degree of the term - 2x⁵:
find the degree of the polynomial 6x² - 4 - 3x⁴ - 2x⁵:
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Explanation:

Step1: Recall degree - definition

The degree of a term $ax^n$ is the exponent $n$ of the variable $x$.

Step2: Find degree of $-2x^5$

For the term $-2x^5$, the exponent of $x$ is $5$. So the degree is $5$.

Step3: Find degree of polynomial

The degree of a polynomial is the highest - degree of its terms. For the polynomial $6x^2−4 - 3x^4−2x^5$, the degrees of the terms are $2$, $0$, $4$, and $5$ respectively. The highest degree among them is $5$.

Answer:

Degree of $-2x^5$: $5$
Degree of the polynomial $6x^2−4 - 3x^4−2x^5$: $5$