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.

Math it's appreciated. (picture provided)

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Patty made a name tag in the shape of a parallelogram. reilly made a rectangular name tag with the same base and height. explain how the areas of the name tags compare.