Question

Find the degree of the polynomial 3x^6+6y^3-7

Answer 1

The degree of the polynomial 3x⁶ + 6x³- 7 is 6

Given :

The polynomial 3x⁶ + 6x³- 7

To find :

The degree of the polynomial

Concept :

Degree of a Polynomial :

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

Solution :

Step 1 of 2 :

Write down the given polynomial

Here the given polynomial is 3x⁶ + 6x³- 7

Step 2 of 2 :

Find degree of the polynomial

The variable is x

Now the highest power of its variable that appears with nonzero coefficient is 6

Hence degree of the polynomial = 6

Correct question : Find degree of the polynomial 3x⁶ + 6x³- 7

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Write the degree of the polynomial :

4z3 – 3z5 + 2z4 + z + 1

https://brainly.in/question/7735375

2. Find the degree of 2020?

https://brainly.in/question/25939171

Answer 2

Given : The polynomial is (3x⁶+6y³-7)

To find : The degree of the polynomial.

Solution :

The degree of the polynomial is 6

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the degree of the polynomial)

To understand this mathematical problem, we have to know more about the degree of a polynomial.

Degree of a polynomial :

• Degree of the polynomial is simply the highest available power of a variable in that polynomial.
• For example, A polynomial is = x²+2x+3x³
• Here, the highest power containing variable is x³, and its power is 3
• So, the degree of the polynomial is 3

So,

The polynomial = 3x⁶+6y³-7

Now, the variable with highest power = x⁶

And, its power = 6

So, the degree of the variable = 6

Hence, the degree of polynomial is 6