Question

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?

Answer 1

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