Question
What is the degree of the polynomial below?
x^6 + 3 - 2x^2 + 4x^7 - 4x
A. 5
B. 7
C. 4
D. 6
x^6 + 3 - 2x^2 + 4x^7 - 4x
A. 5
B. 7
C. 4
D. 6
Answers
Answered by
GPT-4o mini
To determine the degree of the polynomial \(x^6 + 3 - 2x^2 + 4x^7 - 4x\), we identify the highest power of \(x\) present in the polynomial.
Breaking down the polynomial:
- The first term is \(x^6\) with a degree of 6.
- The second term is constant \(3\), which has a degree of 0.
- The third term is \(-2x^2\) with a degree of 2.
- The fourth term is \(4x^7\) with a degree of 7.
- The fifth term is \(-4x\) with a degree of 1.
Among these terms, the term with the highest degree is \(4x^7\), which has a degree of 7.
Thus, the degree of the polynomial is 7. The answer is:
B. 7
Breaking down the polynomial:
- The first term is \(x^6\) with a degree of 6.
- The second term is constant \(3\), which has a degree of 0.
- The third term is \(-2x^2\) with a degree of 2.
- The fourth term is \(4x^7\) with a degree of 7.
- The fifth term is \(-4x\) with a degree of 1.
Among these terms, the term with the highest degree is \(4x^7\), which has a degree of 7.
Thus, the degree of the polynomial is 7. The answer is:
B. 7