What is the root(s) of a quadratic function?

F(x)= 4x g(x) =x-1 what is f(x) divided by g(x)

1- 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.2- 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 the first question?

Let x = a + bi and y = c + di and z = f + gi. which statements are true?