Define Degree of a Polynomial With Its Types
Question: Define the degree of a polynomial with its types
Answer: Classification of the polynomials based on the degree of a polynomial with examples is given below.
Let's explore more about the degree of a polynomial with its types.
Consider the polynomial p(x) : 2x5 − 12x3+ 3x − 6
The term with the highest power of x is 2x5 and the corresponding (highest) exponent is 5. Therefore, we will say that the degree of this polynomial is 5.
Each of the polynomials has a specific degree and based on that they have been assigned a specific name.
|Types of Polynomials||Degree||Examples|
|Linear||1||x + 8|
|Quadratic||2||3x2 - 4x + 9|
|Cubic||3||2x3 + 3x2 + 4x + 6|
|Quartic||4||x4- 3x+ 16|
|Quintic||5||4x5+ 2x3 - 20|