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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 is based on the degree of a polynomial. The degree of a polynomial can be 0, 1, 2, 3, and so on for different polynomials.
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.
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|
|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|
Thus, the degree of a polynomial directly affects the nature of the polynomial expression.