Definition Of Degree Of A Polynomial

Degree of a polynomial is the highest of the degrees of all its terms.

More About Degree of a Polynomial

This highest degree of the polynomial is also called as the order of the polynomial.

Example of Degree of a Polynomial

The degree of the polynomial 5 - 9x + 4x³ - 8x⁷ is 7.
The degree of the polynomial 5x⁶ + x⁴ - 2x³ + 9 is 6.

Video Examples: The Degree of a Polynomial
 

Solved Example on Degree of a Polynomial

Ques: The degree of the polynomial y⁴ + 7y + 1 is ______.

Choices:

A. 4
B. 2
C. 5
D. 3
Correct Answer: A

Solution:

Step 1: y⁴ + 7y + 1 [Original Polynomial.]
Step 2: In the expression, the exponents of y are 4, 1.
Step 3: The highest exponent of y is the degree of the polynomial.
Step 4: So, the degree of the polynomial is 4.

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