Determine if (x−5)\left(x-5\right)(x−5) is a factor of (2x3+3x2−32x+15)\left(2x^3+3x^2-32x +15\right)(2x 3
+3x
2
−32x+15) . Explain your answer.

Determine whether the set of whole numbers is closed under addition. explain why the set is or is not closed. give an example.

F(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.