Suppose you divide a polynomial by a binomial. how do you know if the binomial is a factor of the polynomial? create a sample problem that has a binomial which is a factor of the polynomial being divided, and another problem that has a binomial which is not a factor of the polynomial being divided.

The ratio of wooden bats to metal bats in the baseball coach’s bag is 2 to 1. if there are 20 wooden bats, how many metal bats are in the bag?

Prove that quadrilateral is a rhombus.

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?