Please help and explain this to me!

Question

make and test a conjecture about the product of any three odd integers

Answer 1

Conjecture: the product of any three odd integers is necessarily odd.

Now test it!

Answer 2

Student,

 

Kenneth gave you a good answer.  Now here is a hint to test the conjecture:

 

Consider 3 odd integers

 

2n + 1

2m + 1

2k + 1,

 

where n, m, and k are integers.  Show that their product is also an odd integer, which means show that their product has the form 2p + 1, where p is an integer.