Can someone me create a polynomial that meets these criteria?

--a maximum of 3 roots
--exactly 1 x-intercept
--exactly 2 different intervals of increase
--no more than 10 possible rational roots

df =

both have same length

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."

i belive the biggest ratio would be 18: correct me if im wrong

(53.5 - 18.4) m.

step-by-step explanation:

after undergoing a displacement of 18.4m, the initial position was (53.5 - 18.4) m if an object has a final position of 53.5.