Explain how the answer is d: for a polynomial p(x) the value of p(3) is -2. which of the following must be true about p(x)? (a) x - 5 is a factor of p(x). (b) x - 2 is a factor of p(x). (c) x + 2 is a factor of p(x) (d) the remainder when p(x) is divided by x - 3 is -2.

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?