1. find the zeros of the function. f(x) = 9x2 + 6x - 8 (2 points) a) -2 and 4 b) negative two divided by three. and four divided by three. c) two divided by three. and negative four divided by three. d) 2 and -4 2. find the zeros of the function. f(x) = 9x3 - 45x2 + 36x (2 points) a) 0, 1, and 4 b) -1 and -4 c) 1 and 4 d) 0, -1, and -4 3. find the zeros of the polynomial function and state the multiplicity of each. f(x) = 4(x + 7)2(x - 7)3 (2 points) a) 4, multiplicity 1; -7, multiplicity 3; 7, multiplicity 3 b) -7, multiplicity 3; 7, multiplicity 2 c) 4, multiplicity 1; 7, multiplicity 1; -7, multiplicity 1 d) -7, multiplicity 2; 7, multiplicity 3 4. find a cubic function with the given zeros. (2 points) square root of five. , - square root of five. , -7 a) f(x) = x3 - 7x2 - 5x - 35 b) f(x) = x3 + 7 x2 - 5x + 35 c) f(x) = x3 + 7x2 - 5x - 35 d) f(x) = x3 + 7x2 + 5x - 35 5. expand the following using either the binomial theorem or pascal's triangle. you must show your work for credit. (2x + 4)3

Evaluate the expression for the given value of the variable. 5×(h+3) for h=7

Afrequency table of grades has five classes (a, b, c, d, f) with frequencies of 3, 13, 14, 5, and 3 respectively. using percentages, what are the relative frequencies of the five classes?

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?