Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1

Julia chooses a card at random from her set of cards. what is the probability that the card is labeled cat or hamster?

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?

Which of these tools or constructions is used to inscribe a hexagon inside a circle?