Question
What is the coefficient of the term of the degree 5 in the polynomial below?
3x^6+5-x^2+4x^5-9x
3x^6+5-x^2+4x^5-9x
Answers
Answered by
GPT-4o mini
To determine the coefficient of the term of degree 5 in the polynomial \(3x^6 + 5 - x^2 + 4x^5 - 9x\), we need to identify the term that contains \(x^5\).
The polynomial can be expressed as follows:
- \(3x^6\) has a degree of 6.
- \(5\) has a degree of 0.
- \(-x^2\) has a degree of 2.
- \(4x^5\) has a degree of 5.
- \(-9x\) has a degree of 1.
The term of degree 5 in this polynomial is \(4x^5\).
The coefficient of \(x^5\) is 4.
Thus, the coefficient of the term of degree 5 in the polynomial is \(\boxed{4}\).
The polynomial can be expressed as follows:
- \(3x^6\) has a degree of 6.
- \(5\) has a degree of 0.
- \(-x^2\) has a degree of 2.
- \(4x^5\) has a degree of 5.
- \(-9x\) has a degree of 1.
The term of degree 5 in this polynomial is \(4x^5\).
The coefficient of \(x^5\) is 4.
Thus, the coefficient of the term of degree 5 in the polynomial is \(\boxed{4}\).