Factor the following expression completely: 3 x cubed left parenthesis 3 x minus 4 right parenthesis squared plus x to the power of 4 left parenthesis 8 right parenthesis left parenthesis 3 x minus 4 right parenthesis left parenthesis 3 right parenthesis .

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

The art class is planning to paint a mural on an outside wall. this figure is a scale drawing of the wall. width: 11 in length: 28 in unit rate: 1.5 ft per in. write the ratio of the area of the drawing to the area of the actual mural. write your answer as a unit rate. show that this unit rate is equal to the square of the unit rate 1.5 ft per in

Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?