Question

Suppose 3s represents an even integer. What polynomial represents the product of 3s, the even integer that comes just before 3s, and the even integer that comes just after 3s?

Answer 1

even integer before \(3s\) would be \(3s-2\) i guess
what would be the one after ?

Answer 2

3s(3s-2)(3s+2)

Answer 3

the choices are

a 27s3 + 12s
b27s3 -3s
c 27s3 - 12s
d3s3 - 12s

Answer 4

\[ \Large 3s(3s-2)(3s+2)=3s(9s^2-4)=27s^3-12s \]