Help me im crying and stressing my hair is turning grey.

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

How many zeros does this polynomial function, y=(x-8)(x+3)^2

Answer this all of it i don’t know how to do it i wasn’t there because i was sick and it’s a nti today so i home not knowing what to do