1. What is the degree of the polynomial p(x) = 2x5 - 6x4 + 2x2 + 7x - 9? A. 5 B. 3 C. 2 D. 4 Hint 2. One of the factors of x3 - 7x + 6 is x - 1. Which of the following is one of the other factors? A. x - 6 B. x - 3 C. x - 2 D. x + 1 Hint 3. The function whose graph is shown has _____. A. one relative minimum B. two relative maxima C. two relative minima D. no relative maxima Hint 4. One zero of h(x) = x3 - 3x2 + x + 5 is 2 - i. Which of the following is another zero? A. 1 - 2i B. 2 + i C. 1 - i D. 1 Hint 5. One zero of p(x) = x3 - 3x2 - 6x + 8 is 1. Which of the following is another zero? A. -1 B. 1 - i C. 4 D. 1 + i Hint 6. Find all of the rational zeros of the function p(x) = 2x3 + 3x2 - 11x - 6. A. -3, 1 B. -6 C. D. -3, 2 Hint 7. What are all of the rational zeros of the function q(x) = x4 - x3 + 4x2 - 4x? A. 0, -2 B. 0, 1, ±2 C. 0, 1 D. 0 Hint 8. Which equation is in quadratic form? A. B. C. 3x3 + 3x + 3 = 0 D. x4 - x2 + x - 1 = 0 Hint 9. Solve y4 - 18y2 + 81 = 0. A. 3, 3i B. 3 C. -3, 3, -3i, 3i D. -3, 3 Hint 10. Find if g(x) = x - 5 and h(x) = |x|. A. B. C. D. Hint 11. Which is the inverse of the relation {(1, -3), (3, 5), (6, -2)}? A. {(1, -2), (3, 8), (6, 4)} B. {(1, 5), (3, -2), (6, -3)} C. {(-3, 1), (5, 3), (-2, 6)} D. {(1, -3), (3, 5), (6, -2)} Hint 12. If a graph represents an odd-degree polynomial function, what must be true? A. It must pass through the x-axis. B. It must have at least three roots. C. It may not have any real roots. D. As , Hint 13. Find consecutive values of x between which each real zero of the function is located. A. 3 and 4 B. no solution C. –3 and –4 D. –5 and –4 Hint 14. The volume of a refrigerator is . Its height is x + 2. What are the other two dimensions? A. x – 3 and x + 2 B. x + 6 and x – 1 C. x – 2 and x + 3 D. x – 6 and x + 1 Hint 15. Let f and g be polynomials of degree 3. Is it true that ? A. Yes, always. B. No, it is only true for polynomials of degree 1. C. It is true in some cases. D. No, never. Hint 16. Given that f(x) and g(x) are inverses, which of the following is true? A. is undefined B. C. D. Hint 17. A square root function, , can be used to represent income made on an investment, with x being the amount originally spent, and f(x) being the profit. How much money would have to be spent in order to make \$50? A. \$7.91 B. \$2000 C. \$20 D. \$2050 Hint 18. The amount of money spent at a grocery store can be expressed as a square root function, , where x is the number of groceries, and f(x) is the amount of money spent. If Eugene buys 12 items, how much money should he expect to spend? A. \$20 B. \$13 C. \$169 D. \$9.92 Hint