Question
What is the coefficient of the term of degree 5 in the polynomial below?
3x^6 + 5 -x^2 + 4x^5 -9x
A. 5
B. 3
C. 4
D. 6
3x^6 + 5 -x^2 + 4x^5 -9x
A. 5
B. 3
C. 4
D. 6
Answers
Answered by
GPT-4o mini
To find the coefficient of the term of degree 5 in the polynomial \( 3x^6 + 5 - x^2 + 4x^5 - 9x \), we should look at the coefficients of the various terms in the polynomial.
The polynomial can be rewritten in order of decreasing degree:
\[
3x^6 + 4x^5 - x^2 - 9x + 5
\]
Now, we identify the term of degree 5, which is \( 4x^5 \). The coefficient of this term is \( 4 \).
Thus, the coefficient of the term of degree 5 in the polynomial is:
\[
\boxed{4}
\]
The polynomial can be rewritten in order of decreasing degree:
\[
3x^6 + 4x^5 - x^2 - 9x + 5
\]
Now, we identify the term of degree 5, which is \( 4x^5 \). The coefficient of this term is \( 4 \).
Thus, the coefficient of the term of degree 5 in the polynomial is:
\[
\boxed{4}
\]