The polynomial of degree 4. P(2) has leading coefficient 1, has a zero of multiplicity 2 at x = 5, a zero of multiplicity 1 at x = 0, and a zero of multiplicity 1 at 3 = 2
Find a possible formula for P(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?