Answered

IDNLearn.com offers a seamless experience for finding and sharing knowledge. Our Q&A platform offers detailed and trustworthy answers to ensure you have the information you need.

Consider the expression [tex]$3n^4 - 5n^3 + 9$[/tex]. What is the coefficient of [tex]$n^3$[/tex]?

A. -3
B. -5
C. 3
D. 5

Sagot :

GinnyAnsweridn
To determine the coefficient of [tex]\( n^3 \)[/tex] in the expression [tex]\( 3n^4 - 5n^3 + 9 \)[/tex], follow these steps:

1. Identify the term containing [tex]\( n^3 \)[/tex]:
- Look at each term in the given expression to find the one that includes [tex]\( n^3 \)[/tex].
- The expression is [tex]\( 3n^4 - 5n^3 + 9 \)[/tex].

2. Examine the terms individually:
- The first term is [tex]\( 3n^4 \)[/tex], which includes [tex]\( n^4 \)[/tex] but not [tex]\( n^3 \)[/tex].
- The second term is [tex]\( -5n^3 \)[/tex], which includes [tex]\( n^3 \)[/tex].
- The third term is [tex]\( 9 \)[/tex], which is a constant and does not include [tex]\( n^3 \)[/tex] at all.

3. Extract the coefficient:
- The term [tex]\( -5n^3 \)[/tex] contains [tex]\( n^3 \)[/tex].
- The coefficient of [tex]\( n^3 \)[/tex] in this term is the number multiplying [tex]\( n^3 \)[/tex], which is [tex]\( -5 \)[/tex].

Therefore, the coefficient of [tex]\( n^3 \)[/tex] in the expression [tex]\( 3n^4 - 5n^3 + 9 \)[/tex] is [tex]\( -5 \)[/tex].

So, the correct answer is:
B. [tex]\(-5\)[/tex]
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thanks for visiting IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more helpful information.