1. Determine the zeros of the function y = x3 + 2x2 - 5x - 6. A. -3, 2, 0 B. -3, -1, 2 C. -1, 2, 3 D. -3, -1, 4 Hint 2. Write a polynomial equation of least degree with roots -1, 2i, and -2i. A. x3 + x2 + 4x + 4 = 0 B. x3 - x2 + 4x + 4 = 0 C. x3 + x2 - 4x + 4 = 0 D. 3x + x2 + 4x - 4 = 0 Hint 3. If you solve 2m2 + 8m + 1 = 0 by completing the square, first divide each side of the equation by ____. A. 2 B. 1 C. 8 D. Hint 4. Solve the equation 2x2 -x + 4 = 0 by any method. A. 1 i B. i C. i D. i Hint 5. Find the value of k so that the remainder of (x3 - 3x2 + kx - 6) ÷ (x + 2) is 0. A. k = 6 B. k = -11 C. k = 11 D. k = -13 Hint 6. Use the Remainder Theorem to find the remainder for the division of (x4 - 3x2 + 2x - 1) ÷ (x - 1). The remainder is ____. A. 2 B. 1 C. -1 D. 0 Hint 7. Find the number of positive real zeros for f(x) = 3x5 + 2x3 + x2 + 7x - 1 = 0. A. 4 or 2 or 0 positive real zeros B. no positive real zeros C. exactly 1 positive real zero D. 4 or 2 positive real zeros Hint 8. In a polynomial equation, if there is one change in sign of the coefficients of the terms, ____. A. there could be one or three positive real zeros B. there is one imaginary root C. there is exactly one positive real zero D. none of the above is correct Hint 9. Determine between which consecutive integers the real zeros of f(x) = x4 - 4x2 + x - 3 are located. A. between -2 and -1 and between 2 and 3 B. between -3 and -2 and between 5 and 6 C. between -4 and -3 and between 3 and 4 D. between -3 and -2 and between 2 and 3 Hint 10. Determine the number of complex zeros of the function f(x) = x5 - 4x2 + 2x - 1. A. 3 B. 2 C. 5 D. 4 Hint 11. Solve > 0. A. -2 < x < 0 or x < 1 B. -1 < x < 0 or x > 2 C. -1 < x < 0 or x > 1 D. -2 < x < 0 or x > 2 Hint 12. Solve + < . A. a < 0 or a > 5 B. a < 0 or 0 < a < 5 C. a > 0 or 0 < a < 5 D. 0 < a < 5 Hint 13. Solve . A. 1 B. 3 C. 2 D. 0 Hint 14. Solve 4. A. 0 x 8 B. x 8 C. none of these D. x 0 Hint 15. Determine the type of polynomial function that could be used to represent the data in the following scatter plot. A. quartic B. linear C. quadratic D. cubic Hint 16. Use a graphing calculator to write a polynomial function to model the set of data. A. 1.3x + 0.9 B. 0.9x - 1.3 C. 0.9x + 1.3 D. 1.3x - 0.9 Hint