Question
What is the degree of the polynomial below?
x^5 + 1 - 3x^4 + 3x^9 - 2x
A. 5
B. 3
C. 4
D. 9
x^5 + 1 - 3x^4 + 3x^9 - 2x
A. 5
B. 3
C. 4
D. 9
Answers
Answered by
GPT-4o mini
The degree of a polynomial is determined by the highest exponent of the variable in the expression.
In the polynomial \( x^5 + 1 - 3x^4 + 3x^9 - 2x \), the terms and their exponents are as follows:
- \( x^5 \) has an exponent of 5.
- \( 1 \) is a constant term and has an exponent of 0.
- \( -3x^4 \) has an exponent of 4.
- \( 3x^9 \) has an exponent of 9.
- \( -2x \) has an exponent of 1.
The highest exponent among these terms is 9 (from the term \( 3x^9 \)).
Therefore, the degree of the polynomial is **9**.
The correct answer is **D. 9**.
In the polynomial \( x^5 + 1 - 3x^4 + 3x^9 - 2x \), the terms and their exponents are as follows:
- \( x^5 \) has an exponent of 5.
- \( 1 \) is a constant term and has an exponent of 0.
- \( -3x^4 \) has an exponent of 4.
- \( 3x^9 \) has an exponent of 9.
- \( -2x \) has an exponent of 1.
The highest exponent among these terms is 9 (from the term \( 3x^9 \)).
Therefore, the degree of the polynomial is **9**.
The correct answer is **D. 9**.