Q17. Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is $1.90. The total cost to regrind 50 platens is $400. Find the linear cost function to regrind platens. If reground platens sell for $8.80 each, how many must be reground and sold to break even? a. C(x) = 1.90x + 305; 45 platens b. C(x) = 1.90x + 400; 38 platens c. C(x) = 1.90x + 400; 58 platens d. C(x) = 1.90x + 305; 29 platens

Q21. Find the real solutions of the equation x⁴ - 8x³ + 16x² + 8x - 17 = 0. a. {-1, 1} b. {-1, 4} c. {-4, 4} d. {-4, 1} Q22. A polynomial f(x) of degree 3 whose coefficients are real numbers has the zeros -4 and 4 - 5i. Find the remaining zeros of f. a. 4, -4 + 5i b. 4, 4 + 5i c. 4 + 5i d. -4 + 5i Q23. Solve the inequality algebraically. Express the solution in interval notation. (x - 2)²(x + 9) < 0 a. (-, -9) or (9, ) b. (-, -9] c. (-, -9) d. (-9, ) Q24. Solve the inequality algebraically. Express the solution in interval notation. (x - 6)/(x + 3) > 0 a. (-, -3) (6, ) b. (-, -3) c. (6, ) d. (-3, 6) Q25. Find the intercepts of the function f(x) = x²(x - 1)(x - 6). a. x-intercepts: 0, -1, -6; y-intercept: 0 b. x-intercepts: 0, 1, 6; y-intercept: 6 c. x-intercepts: 0, 1, 6; y-intercept: 0 d. x-intercepts: 0, -1, -6; y-intercept: 6 Q26. Form a polynomial f(x) with real coefficients of degree 4 and the zeros 2i and -5i. a. f(x) = x⁴ + 29x² + 100 b. f(x) = x⁴ - 2x³ + 29x² + 100 c. f(x) = x⁴ + 29x² - 5x + 100 d. f(x) = x⁴ - 5x² + 100 Q27. Find the intercepts of the function f(x) = x³ + 3x² - 4x - 12. a. x-intercepts: -2, 2, 3; y-intercept: -12 b. x-intercepts: -3, -2, 2; y-intercept: -12 c. x-intercept: -3; y-intercept: -12 d. x-intercept: -2; y-intercept: -12 Q28. Find a bound on the real zeros of the polynomial function f(x) = x⁴ - 8x² - 9. a. -17 and 17 b. -9 and 9 c. -18 and 18 d. -10 and 10 Q29. Find the domain of the rational function R(x) = (-3x²)/(x² + 2x - 15). a. {x|x 5, 3} b. {x|x 5, -3} c. {x|x - 15, 1} d. {x|x -5, 3} Q30. Form a polynomial f(x) with real coefficients of degree 3 and the zeros 1 + i and -10. a. f(x) = x³ - 10x² - 18x - 12 b. f(x) = x³ + 8x² + 20x - 18 c. f(x) = x³ + x² - 18x + 20 d. f(x) = x³ + 8x² - 18x + 20 Q31. Find the real solutions of the equation 3x³ - x² + 3x - 1 = 0. a. {-3, 1/3, -1} b. {1/3} c. {1/3, -1} d. {-3, -1/3, -1}