Question: What is the degree of the following polynomial? \[ 9x^4 - 10x^3 - 13 \]

What is the degree of the following polynomial?

\[ 9x^4 - 10x^3 - 13 \]

Solution

To find the degree of the polynomial \(9x^4 - 10x^3 - 13\), identify the term with the highest power of \(x\). The terms are: \[ \begin{cases} 9x^4 & \\ -10x^3 & \\ -13 & \end{cases} \] The highest power of \(x\) is \(4\). Therefore, the degree of the polynomial is \(4\).