degree of polynomial
The degree of a polynomial is the highest power of the variable (typically denoted as x) in the polynomial expression
The degree of a polynomial is the highest power of the variable (typically denoted as x) in the polynomial expression.
To determine the degree of a polynomial, you need to identify the term with the highest power of the variable. For example, if you have a polynomial expression:
f(x) = 3x^4 + 2x^3 – 5x^2 + x – 7
In this case, the term with the highest power of x is 3x^4. Therefore, the degree of this polynomial is 4. It is important to note that terms without variables, such as -7 in this example, are considered to have a degree of 0 since they can be written as a constant.
The degree of a polynomial provides information about the behavior of the polynomial. It helps determine the number of roots (or zeros) of the polynomial, where the graph of the polynomial intersects the x-axis. The degree also indicates the general shape and complexity of the polynomial’s graph.
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