17. A rectangular box has a volume of 105 cubic centimeters. The width of the rectangular box is x centimeters, the length is (2.1 – 3) centimeters, and the
height is 3 centimeters.
a. Write a polynomial that represents the volume of the rectangular box.
b. What are the dimensions of the rectangular box?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?