\begin{tabular}{l} Find the degree of the polynomial. \\ SUBMIT ANSWER \\ SU \( s^{4}-3 r^{4} s^{5} \) \\ \hline\end{tabular}
Real Tutor Solution
Answer
Solution
Reviewed and approved by the UpStudy tutoring team
Extra Insights
The degree of a polynomial is determined by the highest power of the variable in the expression. In the polynomial \( s^{4} - 3 r^{4} s^{5} \), we have two terms: \( s^{4} \) and \( -3 r^{4} s^{5} \). The highest power of \( s \) is 5, which appears in the second term. Therefore, the degree of the polynomial is 5. Additionally, remember that if a polynomial has more than one variable, you should focus on the degrees of each term. The overall degree of the entire polynomial is defined by the highest sum of the exponents in all the variables in a term. In this case, the term \( -3 r^{4} s^{5} \) has a total degree of \( 4 + 5 = 9 \) when considering both variables \( r \) and \( s \).