4

Part of 2018 CHMMC (Fall)

Problems(2)

2018 Fall Team #4

Source:

If Percy rolls a fair six-sided die until he rolls a

5

, what is his expected number of rolls, given that all of his rolls are prime?

2018 CHMMC Tiebreaker 4 - f(x) = x^4 + 9x^3 + 18x^2 + 18x + 4

Source:

Find the sum of the real roots of

f(x) = x^4 + 9x^3 + 18x^2 + 18x + 4

algebrapolynomialCHMMC