Define Degree of a Polynomial With Its Types


Question: Define the degree of a polynomial with its types

The degree of a polynomial is the highest exponential power of the variable in the polynomial.

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.

Explanation:

The degree of a polynomial is the highest exponential power in the polynomial equation.

Consider the polynomial p(x) : 2x− 12x3+ 3x − 6

The term with the highest power of x is 2xand the corresponding (highest) exponent is 5. Therefore, we will say that the degree of this polynomial is 5.

Thus, the Degree of a polynomial is the greatest power of a variable in the polynomial equation.

Each of the polynomials has a specific degree and based on that they have been assigned a specific name.

Types of Polynomials Degree Examples
Constant  0   3
Linear  1    x + 8
Quadratic  2   3x2 - 4x + 9
Cubic  3   2x3 + 3x2 + 4x + 6
Quartic      4   x4- 3x+ 16
Quintic  4x5+ 2x3 - 20

Thus, the degree of a polynomial directly affects the nature of the polynomial expression.