Question

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

Answer 1

-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