Use Synthetic Division to determine the remainder of the quotient of f(x) and g(x) , given f(x) = 3x ^ 4 + 7x ^ 2 - 8x + 12 and g(x) = x + 2

The train station clock runs too fast and gains 5 minutes every 10 days. how many minutes and seconds will it have gained at the end of 9 days?

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?