The polynomial x2 + 8 is equal to O (x + 2)(x2 – 2x + 4). O (x-2)(x2 + 2x + 4). O (x + 2)(x2 – 2x + 8). O (x - 2)(x2 + 2x + 8).​

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?

Adesigner charges a one time fee of $200 plus $40 an hour for each project. write an expression to represent how much money the designer will make for a project

Given abc find the values of x and y. in your final answer, include all of your calculations.