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Math 110 Final Exam All Sections including SL Center December 10-14, 2012 1. What is the domain of the function defined by the equation y = ln(x + 2)? (a) (-?, -2) (b) (-?, 2) (c) (-2, ?) (d) (2, ?) (e) (0, -?) (f) (-?, ?) 2. If b and c are real numbers so that the polynomial x^2 + bx + c has 1 + 2i as a zero, find b + c. (a) 3 (b) 4 (c) 5 (d) 6 (e) 7 (f) 8 3. Let R(x) = (3x^3 + 3x^2 + 2x + 3) / (x^2 + 2x + 2). Then R(x) has an oblique asymptote at: (a) y = 3x - 4 (b) y = 3x - 3 (c) y = 3x - 2 (d) y = 3x - 1 (e) y = 3x (f) y = 3x + 1 4. Solve the inequality: x(x^2 - 4x + 4) / (x + 1) < 0 (a) (-?, -1) ? (0, 2) (b) (-1, 0) ? (2, ?) (c) (-1, 0] ? (2, ?) (d) (-1, 0) ? {2} (e) (-1, 0] (f) (-1, 0) (g) All real numbers. 5. Solve the inequality: 2x / (x + 1) > 1. (a) (-1, 1) (b) (-1, 1] (c) [-1, 1) (d) (-?, -1) ? (1, ?) (e) (-?, -1) ? [1, ?) 6. Find the remainder when x^100 - 3x^99 + 2x^2 - 6x - 2 is divided by x - 3. (a) -3 (b) -2 (c) -1 (d) 1 (e) 2 (f) 3 7. How many zeros of the polynomial p(x) = 2x^4 - 5x^3 + 5x - 2 are positive? (a) 0 (b) 1 (c) 2 (d) 3 (e) 4

          Math 110 Final Exam All Sections including SL Center December 10-14, 2012 1. What is the domain of the function defined by the equation y = ln(x + 2)? (a) (-?, -2) (b) (-?, 2) (c) (-2, ?) (d) (2, ?) (e) (0, -?) (f) (-?, ?) 2. If b and c are real numbers so that the polynomial x^2 + bx + c has 1 + 2i as a zero, find b + c. (a) 3 (b) 4 (c) 5 (d) 6 (e) 7 (f) 8 3. Let R(x) = (3x^3 + 3x^2 + 2x + 3) / (x^2 + 2x + 2). Then R(x) has an oblique asymptote at: (a) y = 3x - 4 (b) y = 3x - 3 (c) y = 3x - 2 (d) y = 3x - 1 (e) y = 3x (f) y = 3x + 1 4. Solve the inequality: x(x^2 - 4x + 4) / (x + 1) < 0 (a) (-?, -1) ? (0, 2) (b) (-1, 0) ? (2, ?) (c) (-1, 0] ? (2, ?) (d) (-1, 0) ? {2} (e) (-1, 0] (f) (-1, 0) (g) All real numbers. 5. Solve the inequality: 2x / (x + 1) > 1. (a) (-1, 1) (b) (-1, 1] (c) [-1, 1) (d) (-?, -1) ? (1, ?) (e) (-?, -1) ? [1, ?) 6. Find the remainder when x^100 - 3x^99 + 2x^2 - 6x - 2 is divided by x - 3. (a) -3 (b) -2 (c) -1 (d) 1 (e) 2 (f) 3 7. How many zeros of the polynomial p(x) = 2x^4 - 5x^3 + 5x - 2 are positive? (a) 0 (b) 1 (c) 2 (d) 3 (e) 4

Math 110 Final Exam All Sections including SL Center December 10-14, 2012 1. What is the domain of the function defined by the equation y = ln(x + 2)? (a) (-?, -2) (b) (-?, 2) (c) (-2, ?) (d) (2, ?) (e) (0, -?) (f) (-?, ?) 2. If b and c are real numbers so that the polynomial x^2 + bx + c has 1 + 2i as a zero, find b + c. (a) 3 (b) 4 (c) 5 (d) 6 (e) 7 (f) 8 3. Let R(x) = (3x^3 + 3x^2 + 2x + 3) / (x^2 + 2x + 2). Then R(x) has an oblique asymptote at: (a) y = 3x - 4 (b) y = 3x - 3 (c) y = 3x - 2 (d) y = 3x - 1 (e) y = 3x (f) y = 3x + 1 4. Solve the inequality: x(x^2 - 4x + 4) / (x + 1) < 0 (a) (-?, -1) ? (0, 2) (b) (-1, 0) ? (2, ?) (c) (-1, 0] ? (2, ?) (d) (-1, 0) ? 2 (e) (-1, 0] (f) (-1, 0) (g) All real numbers. 5. Solve the inequality: 2x / (x + 1) > 1. (a) (-1, 1) (b) (-1, 1] (c) [-1, 1) (d) (-?, -1) ? (1, ?) (e) (-?, -1) ? [1, ?) 6. Find the remainder when x^100 - 3x^99 + 2x^2 - 6x - 2 is divided by x - 3. (a) -3 (b) -2 (c) -1 (d) 1 (e) 2 (f) 3 7. How many zeros of the polynomial p(x) = 2x^4 - 5x^3 + 5x - 2 are positive? (a) 0 (b) 1 (c) 2 (d) 3 (e) 4

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