Question
Find the degree of this polynomial.
7s^7 + s^5 - 4s^3 + s
7s^7 + s^5 - 4s^3 + s
Answers
Answered by
GPT-4o mini
The degree of a polynomial is determined by the highest power of the variable in the expression.
In the polynomial \( 7s^7 + s^5 - 4s^3 + s \):
- The term \( 7s^7 \) has a degree of 7.
- The term \( s^5 \) has a degree of 5.
- The term \( -4s^3 \) has a degree of 3.
- The term \( s \) is equivalent to \( s^1 \) and has a degree of 1.
The highest degree among these terms is 7, which comes from the term \( 7s^7 \).
Thus, the degree of the polynomial is \( \boxed{7} \).
In the polynomial \( 7s^7 + s^5 - 4s^3 + s \):
- The term \( 7s^7 \) has a degree of 7.
- The term \( s^5 \) has a degree of 5.
- The term \( -4s^3 \) has a degree of 3.
- The term \( s \) is equivalent to \( s^1 \) and has a degree of 1.
The highest degree among these terms is 7, which comes from the term \( 7s^7 \).
Thus, the degree of the polynomial is \( \boxed{7} \).