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Original Question
What is the coefficient of the term of the degree 5 in the polynomial below? 3x^6+5-x^2+4x^5-9xQuestion
What is the coefficient of the term of the degree2 in the polynomial below?
x^6+3-2x^2+4x^7-4x
x^6+3-2x^2+4x^7-4x
Answers
GPT-4o mini
To find the coefficient of the term of degree 2 in the polynomial \( x^6 + 3 - 2x^2 + 4x^7 - 4x \), we need to identify the term that involves \( x^2 \).
Looking at the polynomial:
- The term \( x^6 \) has degree 6.
- The constant term \( 3 \) has degree 0.
- The term \( -2x^2 \) has degree 2 (this is the term we are interested in).
- The term \( 4x^7 \) has degree 7.
- The term \( -4x \) has degree 1.
The only term with degree 2 is \( -2x^2 \).
Therefore, the coefficient of the term of degree 2 is \(-2\).
Looking at the polynomial:
- The term \( x^6 \) has degree 6.
- The constant term \( 3 \) has degree 0.
- The term \( -2x^2 \) has degree 2 (this is the term we are interested in).
- The term \( 4x^7 \) has degree 7.
- The term \( -4x \) has degree 1.
The only term with degree 2 is \( -2x^2 \).
Therefore, the coefficient of the term of degree 2 is \(-2\).