Question
What is the coefficient of the term of degree 7 in the polynomial below?
2x^6+2-4x^2+5x^7-4x
2x^6+2-4x^2+5x^7-4x
Answers
Answered by
GPT-4o mini
To find the coefficient of the term of degree 7 in the polynomial
\[
2x^6 + 2 - 4x^2 + 5x^7 - 4x,
\]
we start by identifying the terms in the polynomial. The terms are:
- \(2x^6\) (degree 6)
- \(2\) (degree 0)
- \(-4x^2\) (degree 2)
- \(5x^7\) (degree 7)
- \(-4x\) (degree 1)
Out of these terms, the only term that has degree 7 is \(5x^7\).
Since we are looking for the coefficient of the term of degree 7, we find that the coefficient of \(5x^7\) is \(5\).
Thus, the coefficient of the term of degree 7 in the polynomial is
\[
\boxed{5}.
\]
\[
2x^6 + 2 - 4x^2 + 5x^7 - 4x,
\]
we start by identifying the terms in the polynomial. The terms are:
- \(2x^6\) (degree 6)
- \(2\) (degree 0)
- \(-4x^2\) (degree 2)
- \(5x^7\) (degree 7)
- \(-4x\) (degree 1)
Out of these terms, the only term that has degree 7 is \(5x^7\).
Since we are looking for the coefficient of the term of degree 7, we find that the coefficient of \(5x^7\) is \(5\).
Thus, the coefficient of the term of degree 7 in the polynomial is
\[
\boxed{5}.
\]