196k views
5 votes
(3k-4)(5k-1) when expanded, what is the coefficient of the k-term?

User Bolza
by
8.2k points

1 Answer

6 votes

Answer:

-23

Explanation:

Because this is a binomial expression, we can use the FOIL method to expand.

Essentially, we multiply the two first terms, the two outer terms, the two inner terms, and the two outer terms. Then, we keep combining like terms until everything is in simplest terms:


(3k-4)(5k-1)\\(3k*5k)+(3k*-1)+(-4*5k)+(-4*-1)\\15k^2-3k-20k+4\\15k^2-23k+4

Thus, we see that the coefficient in front of the k-term is -23

User Artanis Zeratul
by
7.3k points

Related questions

asked Nov 4, 2024 157k views
Daniel Hao asked Nov 4, 2024
by Daniel Hao
8.6k points
1 answer
2 votes
157k views
asked Sep 27, 2024 202k views
Rajesh Naroth asked Sep 27, 2024
by Rajesh Naroth
8.5k points
1 answer
2 votes
202k views