18 . Which of the following polynomials, when divided by 3 x + 4 , equals 2 x^2 + 5 x − 3 with
remainder 3?
(A) 6 x^3 + 23x^2 − 11 x − 12
(B) 6 x^3 + 23x^2 − 11 x − 9
(C) 6 x^3 + 23x^2 − 11 x − 15
(D) 6 x^3 + 23x^2 + 11x − 12
(E) 6 x^3 + 23x^2 + 11x − 919 . Let x be defined to be the “floor” of x, where x is the greatest integer that is less
than or equal to x, and let x be the “ceiling” of x, where x is the least integer that is
greater than or equal to x. If f(x) = x + x and x is not an integer, then f(x) is also equal to
(A) 2 x −2
(B) 2 x
(C) 2 x
(D) 2 x + 1
(E) 2 x + 220 . If log 2 x + log 2 x = 7, then x =
(A) 1.21
(B) 1.40
(C) 11.31
(D) 18.52
(E) 22.6321 . If , what is the domain of f(x)?