2. Given two binomials: Binomial 1: 4x + 2 Binomial 2: 8x - 7 You must show your work to earn full credit. Part A: What is the sum of the binomials? (3 points) Part B: What is the difference of the binomials? (3 points) Part C: What is the product of the binomials? (4 points)

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?