Explain how the answer is d: for a polynomial p(x) the value of p(3) is -2. which of the following must be true about p(x)? (a) x - 5 is a factor of p(x). (b) x - 2 is a factor of p(x). (c) x + 2 is a factor of p(x) (d) the remainder when p(x) is divided by x - 3 is -2.

The last time i bought this product , it cost $20.00 but it looks like it cost 29. 60 today? what is the increase

Rationalize the denominator- 12x/√x-10

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?