The rate (in meters per second) that an object travels is the quotient of the distance (in meters) it travels and the time (in seconds) it takes to travel that distance. A particle traveled the distance of 3x^2-12 meters for ( x + 2 )seconds. Write the rate of the particle as a rational algebraic expression in simplest form.

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?