The product of three consecutive even integers is 39,168.

a. Write the polynomial that represents this problem.

b. What are the consecutive odd integers?

Step-by-step explanation:

hello:

let : three consecutive even integers : 2n, 2n+2, 2n+4

a) the polynomial is : 2n (2n+2) (2n+4) = 39168

but : 39168=2^8 * 3²*17 = 2^5*2*17*9*2^2 because : 2^8=2^5*2*2^2

39168=32*34*36 because : 2^5=32 and 2*17 = 34 and 9*2^2 = 36

conclusion : three consecutive even integers are : 32,34,36