Which expression represents the correct form for the quotient and remainder, written as partial fractions, of StartFraction 8 x cubed minus 2 x squared minus 67 x minus 24 Over 2 x squared minus x minus 21 EndFraction?

A. what does the point (4, 122) represent? b. what is the unit rate? c. what is the cost of buying 10 tickets?

Find the directions in which the function increases and decreases most rapidly at upper p 0p0. then find the derivatives of the function in these directions. f(x,y)equals=x squared plus xy plus y squaredx2+xy+y2, upper p 0p0left parenthesis 1 comma negative 4 right parenthesis

Simplify (8x2 − 1 + 2x3) − (7x3 − 3x2 + 1). −5x3 + 11x2 − 2 5x3 − 11x2 + 2 x3 + 2x2 + x3 x3 − 2x2 − x3