For the polynomial x^4 – 4: • find all roots and graph them in the complex plane. factor the polynomial completely over the rational numbers. factor the polynomial completely over the real numbers. • factor the polynomial completely over the complex numbers. (b) do the same for the polynomial x4 + 4. (c) what are the principal fourth roots of 4 and of -4? explain.

The sum of the squares of two numbers is 8 . the product of the two numbers is 4. find the numbers.

Xy x xy if a and b are positive integers such that a*b=9 and b*a=72 what is the value of a/b

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)