Degree of a Polynomial
The degree of the term with the highest exponent (or highest sum of the exponents) of the variable(s)
The degree of a polynomial is the highest degree of any term in the polynomial. In other words, it is the power of the variable that has the highest exponent in the polynomial.
For example, consider the polynomial:
𝑃(𝑥) = 3𝑥^4 − 2𝑥^3 + 5𝑥^2 + 4𝑥 + 1
The term with the highest degree in this polynomial is 3𝑥^4, which is a fourth-degree term. Therefore, the degree of the polynomial is 4.
It’s important to note that the degree of a polynomial can only be a non-negative integer. It cannot be a fraction, decimal, or a negative number. Additionally, the degree of the zero polynomial is undefined.
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