Write h(x) = x2 - 6x + 3 in vertex form by following these steps:
Step 1: Model x2 - 6x + 3 by placing tiles in the Product
section. First place the x2 and -x tiles along the left
and top borders to form two sides of a square. Then
place the + tiles along the ends of the -x tiles.

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?