Question

question 9
find the degree of the term $2x^{3}$:
find the degree of the term $-5x^{6}$:
find the degree of the term $-2x^{5}$:
find the degree of the term 1:
find the degree of the polynomial $2x^{3}-5x^{6}-2x^{5}+1$:

Explanation:

Step1: Recall degree of a monomial rule

The degree of a monomial $ax^n$ is $n$ (where $a$ is a non - zero constant and $n$ is a non - negative integer). For a constant term, the degree is 0.

Step2: Degree of $2x^3$

The exponent of $x$ is 3. So the degree is 3.

Step3: Degree of $-5x^6$

The exponent of $x$ is 6. So the degree is 6.

Step4: Degree of $-2x^5$

The exponent of $x$ is 5. So the degree is 5.

Step5: Degree of 1

1 is a constant. So the degree is 0.

Step6: Degree of the polynomial

The degree of a polynomial is the highest degree of its terms. Among 3, 6, 5, 0, the highest is 6.

Answer:

3
6
5
0
6