write the expression in condensed form. 1) 5 10gc t - logc s A) logc 15 + logc s B) log loge C) loget D) log c (+5 - s) Find the zeros of the polynomial function and state the multiplicity of each. 2 ) f ( x ) = (x + 3)2 ( x - 1 ) A) x = -3, multiplicity 1; x = 1, multiplicity 1 ) x = -3, multiplicity 2; x = 1, multiplicity 1 B) x = 3, multiplicity 2; x = 1, multiplicity 1 D) x = -3, multiplicity 1; x = 1, multiplicity 2 Use the compound interest formula to determine the future value of the given principal P. 3) $480 at 18% compounded quarterly for 4 years A) $928.94 B) $490.74 C) $970.74 D) $930.61 Find the polynomial P(x) with real coefficients having the specific degree, leading coefficient, and zeros. 4) degree: 3, leading coefficient: -4, zeros: 4, 2 + 4i A) P(x ) = x3 - 8x2 + 36x - 80 B) P(x) = -4x3 - 32x2 - 144x - 320 C) P(x) = -4x3 + 32x2 - 144x + 320 D) P(x) = 4x3 +32x2 + 144x + 320 Solve the exponential equation and approximate the result, correct to three decimal places. 5) 4(x - 1) = 23 A) 6.750 B) 2.749 C) 3.262 D) 1.262 Determine the maximum possible number of turning points for the graph of the function. 6) f( x) = (x - 4)(x + 5)(5x +7) A) 5 B ) 3 C) 0 D) 2 Evaluate the exponential function for the given value. 7) f(x) = 42x-1, f(1.1) A) = 20.112 B) 1.6 ( C ) = 5.278 D) 0.263 Use long division to find the quotient and the remainder 8 ) 25x3 - 35x2 + 22x +8 -5x + 3 A) quotient: x2 - 2; remainder: 4 B) quotient: -5x2 + 4x - 2: remainder: 14 C) quotient: -5x2 + 4x - 2; remainder: 0 D) quotient: -5x2 + 4x - 2; remainder: 17 Find the partial fraction decomposition for the rational expression. 9 ) - 5x - 21 x2 - 8x + 15 A) - 3 2 B) 2 C) - X - 3 D) x +3 x +5 x - 3 X - x - 5 X - 3 x - 5 Solve the problem. 10) The number G of gears a machine can make varies directly as the time T it operates. If it can make 4994 gears 9 hours, how many gears can it make in 10 hours? A) 554.89 gears B) 5013 gears C) 0.018 gears D) 5548.89 gears