Question

Find the degree of the polynomial 5x2

– 7x – x3 + 3.​

Answer 1

The degree of the polynomial 5x² - 7x - x³ + 3 is 3

Given :

The polynomial 5x² - 7x - x³ + 3

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

The given polynomial is 5x² - 7x - x³ + 3

Rearranging the terms the given polynomial becomes

- x³ + 5x² - 7x + 3

Step 2 of 2 :

Find degree of the polynomial

The given polynomial can be rewritten as

The variable involved in the polynomial is x

Now highest power of its variable that appears with nonzero coefficient is 3

Hence degree of the polynomial is 3

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Answer 2

The degree of the polynomial 5x²- 7x - x3 + 3 is 3

Given:

The polynomial 5x² - 7x - x3 + 3

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
• The given polynomial is 5x²- 7x - x3 + 3
• Rearranging the terms the given polynomial becomes

-x³ + 5x² - 7x+3

Step 2 of 2:

•   Find degree of the polynomial
• The given polynomial can be rewritten as
• The variable involved in the polynomial is x
• Now highest power of its variable that appears with nonzero coefficient is 3

Hence degree of the polynomial is 3

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