Determine the quotient, q(x), and remainder, r(x) when

f(x) = 12x4 + 21x3 + 31x2 + 21x + 9

is divided by g(x) = 3x2 + 3x + 4 .

Define multiplicative inverse. give an example of a number and its multiplicative inverse.

Type the correct answer in each box. spell all words correctly. a sequence of transformations maps ∆abc onto ∆a″b″c″. the type of transformation that maps ∆abc onto ∆a′b′c′ is a . when ∆a′b′c′ is reflected across the line x = -2 to form ∆a″b″c″, vertex of ∆a″b″c″ will have the same coordinates as b′.

Aswimming pool measures 22ft by 12ft and is 4ft deep. if the pool is being filled at 2.5 cubic ft per minute, how long will it take to fill the pool?