Question

write the degree of each of the following polynomial, 5x3+4x2+7x​

Answer 1

The degree of the polynomial 5x³ + 4x² + 7x is 3

Given :

The polynomial 5x³ + 4x² + 7x

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 5x³ + 4x² + 7x

Step 2 of 2 :

Find degree of the polynomial

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

Explanation:

If we see the definition 'Degree of a polynomial - Degree if a polynomial is defined as the highest power of its variable that appears with non-zero coefficient.' in this we can see that we have to see the highest power.

Given-

5x^3+4x^2+7x

Answer:

Highest power = 3

Therefore, the degree of 5x^3+4x^2+7x is 3.

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