Priya wants to sketch a graph of the polynomial f defined by f(x) = x³ + 5x² + 2x - 8. She know f(1) = 0, so she suspects that (x-1) could be a factor of x³ + 5x² + 2x - 8 and writes (x³ + 5x² + 2x - 8) = (x-1)(?x² + ?x +? ) 1. Draw a box diagram
2. Write f(x) as the product of (x-1) and another factor
3. Write f(x) as the product of three linear factors

Amanufacturing firm has been averaging 16.8 orders per week for several years. however, during a recession, orders appeared to slow. suppose the firm’s production manager randomly samples 31 weeks and finds an average of 15.6 orders with a standard deviation of 2.3 orders. using a 0.025 significance level, test whether the mean number of orders has decreased. type the full 5 step procedure into the answer box, then for multiple choice practice, answer the following: 1. what is the name and symbol of the parameter that you are testing? 2. what is the symbol and value of the point estimate of that parameter? 3. what distribution are you using to test this parameter? 4. what is the critical value? 5. what is the test statistic value? 6. what is the p-value?